Create Vendor\Module/view/adminhtml/ui_component/customer_listing.xml and add below code

 <?xml version="1.0" encoding="UTF-8"?>
 <listing xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
      xsi:noNamespaceSchemaLocation="urn:magento:module:Magento_Ui:etc/ui_configuration.xsd">
 <columns name="customer_columns">
     <column name="online_status" class=" Vendor\Module\Ui\Component\Listing\Column\OnlineStatus">
         <argument name="data" xsi:type="array">
             <item name="config" xsi:type="array">
                 <item name="sortOrder" xsi:type="number">70</item>
                 <item name="label" xsi:type="string" translate="true">Customer Online Status</item>
             </item>
         </argument>
     </column>
 </columns>

Crete Vendor\Module\Ui\Component\Listing\Column\CustomerOnlineStatus.php and add below code

<?php
namespace Vendor\Module\\Ui\Component\Listing\Column;


use Magento\Framework\View\Element\UiComponent\ContextInterface;
use Magento\Framework\View\Element\UiComponentFactory;
use Magento\Ui\Component\Listing\Columns\Column;
use Magento\Customer\Model\ResourceModel\Visitor\CollectionFactory as VisitorCollectionFactory;
use Magento\Customer\Model\Visitor;

class CustomerOnlineStatus extends Column
{
 /**
  * @var Visitor
  */
 protected Visitor $visitorModel;
 /**
  * @var VisitorCollectionFactory
  */
 protected VisitorCollectionFactory $visitorCollectionFactory;

 /**
  * @param ContextInterface $context
  * @param UiComponentFactory $uiComponentFactory
  * @param Visitor $visitorModel
  * @param VisitorCollectionFactory $visitorCollectionFactory
  * @param array $components
  * @param array $data
  */
 public function __construct(
     ContextInterface $context,
     UiComponentFactory $uiComponentFactory,
     Visitor $visitorModel,
     VisitorCollectionFactory $visitorCollectionFactory,
     array $components = [],
     array $data = []
 ) {
     $this->visitorModel = $visitorModel;
     $this->visitorCollectionFactory = $visitorCollectionFactory;
     parent::__construct($context, $uiComponentFactory, $components, $data);
 }

 /**
  * @param array $dataSource
  * @return array
  */
 public function prepareDataSource(array $dataSource): array
 {
     if (isset($dataSource['data']['items'])) {
         $entityIds = [];
         foreach ($dataSource['data']['items'] as $item) {
             $entityIds[] = $item['entity_id'];
         }
         $online = $this->getOnlineCustomers($entityIds);
         foreach ($dataSource['data']['items'] as &$item) {
             $item[$this->getName()] = isset($online[$item['entity_id']]) ? __('Online') : __('Offline');
         }
     }
     return $dataSource;
 }

 /**
  * @param array $customerIds
  * @return array
  */
 protected function getOnlineCustomers(array $customerIds): array
 {
     $collection = $this->visitorCollectionFactory->create();
     $lastDate = gmdate('U') - $this->visitorModel->getOnlineInterval() * 60;
     $collection->addFieldToFilter('last_visit_at', [
         'from' => $collection->getConnection()->formatDate($lastDate),
     ]);
     $collection->addFieldToFilter('customer_id', [
         'in' => $customerIds,
     ]);

     $online = [];
     foreach ($collection as $visitor) {
         $online[$visitor->getCustomerId()] = true;
     }
     return $online;
   }
 }

Run php bin/magento cache:flush and check the result.

Create Vendor/Module/view/adminhtml/ui_component/customer_listing.xml and add below code

 <?xml version="1.0" encoding="UTF-8"?>
 <listing xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
      xsi:noNamespaceSchemaLocation="urn:magento:module:Magento_Ui:etc/ui_configuration.xsd">
 <columns name="customer_columns">
     <column name="online_status" class=" Vendor\Module\Ui\Component\Listing\Column\OnlineStatus">
         <argument name="data" xsi:type="array">
             <item name="config" xsi:type="array">
                 <item name="sortOrder" xsi:type="number">70</item>
                 <item name="label" xsi:type="string" translate="true">Customer Online Status</item>
             </item>
         </argument>
     </column>
 </columns>

Create Vendor/Module/Ui/Component/Listing/Column/CustomerOnlineStatus.php and add below code

<?php
namespace Vendor\Module\\Ui\Component\Listing\Column;


use Magento\Framework\View\Element\UiComponent\ContextInterface;
use Magento\Framework\View\Element\UiComponentFactory;
use Magento\Ui\Component\Listing\Columns\Column;
use Magento\Customer\Model\ResourceModel\Visitor\CollectionFactory as VisitorCollectionFactory;
use Magento\Customer\Model\Visitor;

class CustomerOnlineStatus extends Column
{
 /**
  * @var Visitor
  */
 protected Visitor $visitorModel;
 /**
  * @var VisitorCollectionFactory
  */
 protected VisitorCollectionFactory $visitorCollectionFactory;

 /**
  * @param ContextInterface $context
  * @param UiComponentFactory $uiComponentFactory
  * @param Visitor $visitorModel
  * @param VisitorCollectionFactory $visitorCollectionFactory
  * @param array $components
  * @param array $data
  */
 public function __construct(
     ContextInterface $context,
     UiComponentFactory $uiComponentFactory,
     Visitor $visitorModel,
     VisitorCollectionFactory $visitorCollectionFactory,
     array $components = [],
     array $data = []
 ) {
     $this->visitorModel = $visitorModel;
     $this->visitorCollectionFactory = $visitorCollectionFactory;
     parent::__construct($context, $uiComponentFactory, $components, $data);
 }

 /**
  * @param array $dataSource
  * @return array
  */
 public function prepareDataSource(array $dataSource): array
 {
     if (isset($dataSource['data']['items'])) {
         $entityIds = [];
         foreach ($dataSource['data']['items'] as $item) {
             $entityIds[] = $item['entity_id'];
         }
         $online = $this->getOnlineCustomers($entityIds);
         foreach ($dataSource['data']['items'] as &$item) {
             $item[$this->getName()] = isset($online[$item['entity_id']]) ? __('Online') : __('Offline');
         }
     }
     return $dataSource;
 }

 /**
  * @param array $customerIds
  * @return array
  */
 protected function getOnlineCustomers(array $customerIds): array
 {
     $collection = $this->visitorCollectionFactory->create();
     $lastDate = gmdate('U') - $this->visitorModel->getOnlineInterval() * 60;
     $collection->addFieldToFilter('last_visit_at', [
         'from' => $collection->getConnection()->formatDate($lastDate),
     ]);
     $collection->addFieldToFilter('customer_id', [
         'in' => $customerIds,
     ]);

     $online = [];
     foreach ($collection as $visitor) {
         $online[$visitor->getCustomerId()] = true;
     }
     return $online;
   }
 }

Run php bin/magento cache:flush and check the result.