Really? I spend a not-small amount of time online. I'm typing this at work right now. But I don't feel any pull to celeb culture whatsoever. Then again, I do not use facebook/twitter/Instagram. I watch YouTube but haven't ever commented or liked a video. The only real internet "drama" I am following currently is the Blizzard-Activision thing, and then only because NerdCubed put out a video about it. But I haven't really played let alone purchased a AAA title in a long while. (I think the latest game I bought was Subnautica 2.)
The internet is as bad/good as you want it to be. If you don't like the content you are exposed to stop exposing yourself to it. Go read something else. There are lots of horrible books in this world, far more bad than good, but few people talk about abandoning reading.
Short answer: Until a celebrity or pop culture story hits the BBC New front page, it isn't worth my time.