That's actually a fairly sensible bill. I'd imagine that both Google and Apple's respective teams are working their hardest to prevent the American people from hearing too much about this.
So if you install something say from Fdroid and want to have it up to date (say a Firefox rebuild), you have to periodically open the Fdroid app, check if there are any updates for the app and manually install them if there are some.
Also I don't think you can currently hide Google Play if its installed, again giving it an unfair advantage.
I think the intention is to prevent Apple saying "either you use our store exclusively, or you opt out of all our apps".
Google lets you install a browser from one store, a game from another, and everything else from the official Play Store.
Google could also easily implement category switching. The URL navigation structure of android could just append ?cat=gaming.