Literally it is someone coming toward you: 되게 친근하게 다가오시더라고요 "he came over in a really friendly way". The figurative use is the one worth learning — something striking you a certain way: 노래를 들어봤는데 되게 새롭게 다가오더라고요 "the song came across as really fresh", X_IN의 인터뷰가 더 특별하게 다가왔습니다 "the interview felt more special". In that sense the thing is the subject and you are the one it reaches.