There are several ways to set up anonymous surfing. One is to use The Cloak.

It is somewhat clumsy, you do have to pay attention and fill in a box each time you want to shift to another url. But it can be done. Usually sites won't ban for use of that, in fact usually I think they won't even notice, which is part of the point of using it. I just gave it a try for here, no problem.

There are more complex ways to anonymously surf. Also there are paid services that look to be much easier.

The Electronic Freedom Frontier has tons of info on all sorts of issues, including anonymity.

Something to sort out is whether a person wants web sites they surf to not be able to trace their actual ip address or track them with cookies.......or if the person wants their computer to not contain trails of info on where they have surfed.

The right to be anonymous in the digital landscape is a right worth fighting for and preserving.

Tor is a project that offers an anonymous internet communication system. It is still too complex for me to use, but they are working on making it easier for everyone.