I don't want to list exactly what we've covered, but it safe to say the blocker should be out of sight of the blocked person, no notifications or comments/posts should be visible for both of them .
There is one major exception to this feature, though. If the blocking happens between member and moderator of the same group, they will still see each others posts. It's for the simple fact that if either of them can't stand each other they should not be in the same group.
The app will catch up shortly after.
I can't really say "happy blocking" but If you do need to block someone and you still think there is something missing, a bug or a glitch, please let us know.