I just got off work means that you have finished work for the day. I just left work means that you have left your work place to go somewhere else.

I agree with Brends.... in this phrase, get off - (que terminaste el turno) - and left work - saliste del trabajo just keep in mind " to get off" has multiple possible meanings depending on the context. Here is an link to show several ways to use "get off" http://www.spanishdict.com/translate/get off