I don’t know how to get a chance to come closer to my 15yo sister.

Better know I am a guy in my 20s. My sister and I aren’t that close because I was a big bully to her throughout most of the years. But recently she grew into becoming a lot like a supermodel. In any case I noticed she is lonely, and I had a chance to come closer. But recently she stays in her room, wears headphones and plays games all day. I feel like I don’t know how to go on from now on.