No, I thought "Cheese Pizza" ist just an acronym for inappropriate pictures and videos of children. Tell me if I'm mistaken (English is not my first language).
You can configure sudo so that it doesn't require you to enter a password. However I would strongly discourage this, since it also allows any script or program to execute root commands without your approval.
The most stupid part of this idea is that is requires a list of banned sites to be served to every user.
Even if they would use hashing to obfuscate the banned domains, you can download a list of all registered domains and just test every one of them.
So the average internet user will lose freedom while a cheese pizza enjoyer with some computer knowledge will gain a list of every banned CP site.