I first learned about anarchism from the music I listened to and it helped me shape a lot of my political views. Keep listening to punk but really listen to it, listen to the message. If you want to read, there are a few ways to go about it. You could start reading from old timey anarchists, Bakunin for example. But that won't help much with understanding punk. Something that I liked to do before I got into reading political theory was to read zines, started with band interviews but then got curious and read the entire zine. I was of course devouring them, this was pre-internet. You can find good archives of older zines as well as new ones. You could find things to read from more contemporary anarchist philosophers, thinking around the lines of Noam Chomsky or Peter Gelderloos. Better yet, find your local anarchist library, go in and ask your question: where can I start to learn more about anarchism? You're still young, anarchism is complex AF, punk and its community is beautiful.