Get on as a phrasal verb has 2 meanings .
This is a task you can get (it) on with > continue doing something as to make progress in it .. . ( Stop talking rubbish !Get on with it( to continue talking what he was talking earlier that you want to listen). ok!)> Get on with something >to continue doing something.
After our conversation with you , I want to get on with my work.
2nd meaning > to be friendly with> How come you cant get on with him?
I need you to get on with > I need to on good terms with .../I need to be friendly with ../get along.
I need to get on with my work > to continue with your work
I need to get on with him> I need to be on friendly term with him