One benefit of shopping online is NOT having to listen to music I don't want to listen to. 1. "Not having to have to" is redundant. You don't need an extra "have to" ^^ 2. "listen" and "to" go together, so if you add listen, it's better to add "to" as well, even at the end of the sentence. Otherwise, it's all correct and I completely agree lol

Well, other than a missing "to" at the end, I suppose it's grammatically correct, but it's a bit mind-bending figuring out what it might mean that "One benefit of shopping online is not having to listen to music I don't want to listen to" (or simply, " ... music I don't like') doesn't.