How can I clone the Media folder while cloning the Magento 2 GIT repository?
For this you can open git repo url and check if media folder is available in git repository ? If not available than ask administrator to commit in new branch and you can take a pull of that branch.
Some time, it can also be in git ignore file which will be hidden file .gitignore
check if this exist in that file "/.media"
than its confirmed that its ignored in git list.