The use case is to make it easier for people to set up servers that allow individuals who live in countries where the Internet is being blocked to circumvent these restrictions.
"Silence censorship" is meant to be sort of funny, but the idea is that censors have had it too easy for too long, and an automated and repeatable method of setting up an anti-censorship server can help change that.
"Automate the effect" is meant to reflect the fact that you can start as many of these servers as you want. If a country starts censoring the Internet, more servers will spring up in response.
I hope these explanations make sense. I will try to figure out a way to make the README more clear.