What is going to happen is the there will be a list of “problematic websites” out there and web browsers will be expected to “voluntarily” refuse to load those sites. Browsers that do not comply will be banned by Google and Apple. There will of course be ways to get around it, but >95% of people will not be tech savvy enough to do it. Also, Microsoft is moving as quickly as it can to an app store only model, so most Windows users will be affected just like Android and IOS. In order to see the complete internet, you will need to be a geek and/or a Linux user.
Also, you will need a VPN and/or Tor. ISPs will undoubtedly sigh up to protect the world from “fake news”.