Say I have two web servers, one local development and one live.
Under SVN I would checkout the website files to my local webserver’s public_html directory and also to the live webserver’s public_html directory. I would then work on the files directly on the local server and commit any changes to the central repository.
When I’m ready for those changes to go live on the live server, I would SSH in and perform an SVN update.
Essentially I have two working copies, one on live and one locally, though other users may also have working copies on their local machines. But there will only ever be one working copy on the live server. The reason for this is so that we can just perform SVN update on live server every time we want changes to be published.
How can a simiar workflow be accomplished using GIT?
To model your current work flow almost exactly do:
Another way to do it would be to set up a “production” branch in git, have a cron job that continually pulls this branch on the server, and then just merge and push to the “production” branch any time you want to publish your changes. Sounds like you need a more concrete branching strategy.
See: Git flow branching model && git flow cli tool
Good luck! This is a very solvable problem with git.