I'd rather go completely dead-tree than have to surf like Stallman does, but if it works for him, great!
I am careful in how I use the Internet.
I generally do not connect to web sites from my own machine, aside from a few sites I have some special relationship with. I usually fetch web pages from other sites by sending mail to a program (see git://git.gnu.org/womb/hacks.git) that fetches them, much like wget, and then mails them back to me. Then I look at them using a web browser, unless it is easy to see the text in the HTML page directly. I usually try lynx first, then a graphical browser if the page needs it (using konqueror, which won't fetch from other sites in such a situation).
I occasionally also browse using IceCat via Tor. I think that is enough to prevent my browsing from being connected with me, since I don't identify myself to the sites I visit.
I never pay for anything on the Web. Anything on the net that requires payment, I don't do. (I made an exception for the fees for the stallman.org domain, since that is connected with me anyway.)
I would not mind paying for a copy of an e-book or music recording on the Internet if I could do so anonymously, and it were ethical in other ways (no DRM or EULA). But that option almost never exists. I keep looking for ways to make it happen.
Using Skype to talk with someone else who is using Skype is encouraging the other to use nonfree software. So I won't use it under any circumstances.
Image: "Conference by Richard Stallman "Free Software: Human Rights in Your Computer", 2014" by Thesupermat CC BY-SA 3.0