Banning the spreading of ideas requires control of information, yes.
There is a ban but it doesn't mean the german government goes out of it's way to remove any piece of such material before it even hits the internet.
It's largely post-factum, when the piece is already on the internet and spread elsewhere when the original author of the information is punished.
Where I live, I'm vastly outnumbered by people who have vastly different values than me. Their party is in control now. Pretty scary to think they could shut off my voice at whim, or worse.