I couldn't give up the internet because it would pretty much put me out of touch with friends, relatives, etcet etcet, plus news, information (especially medical) -- it's the biggest library in the world and more accessible than the thousands of books with which I surround myself.
Giving up television is easy -- we did it in 1983. Cable had yet to come to Nottingham, so we only had 3 stations. When I watched, it was movies, the Muppets or Jacque Cousteau specials. Then, in the middle of "Brideshead Revisited" on Masterpiece Theatre, I found I just plain couldn't get to see one of the middle episodes no matter how often it was repeated during the week. I threw up my arms in disgust and stopped watching television completely. The television existed only to watch recorded films on MY schedule. If there was something we needed to see (such as "Twin Peaks"), someone recorded it for us. Scheduled television just doesn't fit into our schedule.
I read -- I need to read myself into the day and again out of the day, before I go to sleep. Probably because I don't watch television, I have time to average 2 or 3 books a week (history, biographies, mysteries, travel...). But, you know what? I often research what I'm reading on the internet -- sometimes the author, sometimes the subject. It's less time consuming to check things online than to have to track down information in a book that may not be up to date.
We bank online, pay bills online, keep in touch with friends and family, shop for items not available locally. To not be online is to become a hermit. By all means turn off the TV, but I don't think it's a good idea to cut yourself off from the world by eliminating the internet.