So basically, you don't like me, do you.

Literal

Essentially you [topic-は] I [subject-が] disliked-[explanatory-んだ] [seek-agreement-ね].

Note the double-marking: 君は (topic) and 私が (subject of 嫌い). 嫌い takes が for the disliked thing. んだね seeks confirmation with a slightly resigned tone — 'so that's what it amounts to, huh.'