get on with
phr. v..phr. v.. to continue doing a task or activity, especially after a break; also, to have a friendly relationship with someone.
phr. v.. to proceed with a task or activity; alternatively, to maintain a harmonious relationship with another person (often synonymous with 'get along with').
Stop talking and get on with your homework.
After the short coffee break, the team had to get on with the project to meet the deadline.
Despite their differing political views, the two colleagues managed to get on with each other and maintain a productive working environment.
when used for tasks, it is often followed by a noun or a gerund; when used for relationships, it is followed by a person.
highlight the dual meaning: 'proceeding with work' versus 'social harmony'; note that 'get along with' is more common in American English for the social sense.
I get on with my work very well.I get on with my colleagues very well.while 'get on with' can mean doing work, using 'well' usually implies the social relationship sense; use 'get on with [task]' for progress.