These days cPanel comes with Git. However, it is not available as a command by default but is instead hidden away in cPanel’s usual obscure location.
However, you can make it accessible using a symlink.
ln -s /usr/local/cpanel/3rdparty/bin/git /usr/local/bin/git
That will allow you to use the git command as normal. The version you get is likely to behind the current version of Git though.