I have experienced some periode without internet.
Couple of years ago also there was problem with the cable in my street and there was no internet, I think it lasted 3 weeks?
You quickly find out how depend you are on the internet:
emails
friends trying to chat with you
looking at your bank account
bills coming in by mail
...
and lets not even talk about entertainment.
I did a lot of reading and watching TV at that time, it was actually pretty relaxed imo.
Another time my computer broke down and I had to drive to my parents to read my emails.
Now I have a smartphone so at least that keeps me safe if it would happen again...