Your friend is right. It seems that you have to go along with her nagging or you think you have to go along with her nagging in order to get along with her.
"to go/get on with it" are not synonymous with "to go along with sth".
"to go on with sth" - continue doing something. "We're not going to make any changes now. We're going to go on with the project as it was first planned.
"to get on with sth" - To get busy at sth after taking a respite/break. "Okay, that's a long enough break. Let's get on with it or we'll never finish it today like we planned.
Student or Learner