Going to disagree here. We've had a lot of agreement lately but this one I'm going to disagree with.
If you learn to read music early on, it'll serve you well if you ever get any gigs that require reading. It's important that musicians have a wide set of skills. That includes reading and also includes playing by ear - both are important. One of my biggest regrets was not continuing with score reading as a kid. I failed auditions for fairly big opportunities (singing, in this case) because of my lack of reading ability.
By all means, play along to music you like but also practice between lessons using the material your teacher has given you. The fastest way to practice both skills is learning how to transcribe music from recordings but that takes quite a high level of both listening and writing to be able to do.
If you want to play outside of the Rock context (and even within Rock sometimes) it really helps to be able to read. I used to play in a Swing band and got away with my reading but was then thrown a small quartet gig and had to brush up sharp. It really helped me as a player to be thrown those challenges.
To me it depends on what the OP wants to achieve?? If he's only wanting to play for his own enjoyment then throw away the sheets. Learn to play by ear. Much more satisfying.
If he is looking to play with bands (Covers etc) that "May" require reading then carry on.
I have played since the age of 12 & am completely self taught. I have played many various styles from hardcore punk to funk without ever having to read. 99% of drumming is by ear in my opinion. Listen to the song you are going to play then have a go. You develop a lot quicker this way. Especially as you get older.
Does the OP have natural rhythm? If so, even more reason to throw away the sheets