There is a YouTube tutorial explaining how to set up Git on a Godaddy Shared Hosting account. Here is the link:
http://youtu.be/z60GLfsGGsY
There is also a webpage with the commands that you will need to execute on the video. Here is the page address:
http://www.drupalfever.com/linux-how-to/git/set-up-git-in-a-godaddy-shared-hosting-account
If you have any question, leave me a note or suggestion.