I would be a history teacher or a librarian, I feel a librarian would be better without the internet as they would have to come to me to look up information as opposed to just searching the web.
I work as a content manager, but if I didn't have the Internet, I would work as an auto mechanic. I love changing oil in a car (bestes motorenöl), light bulbs and brake pads! I've loved cars since I was a kid, repairing and remodeling machinery is my hobby.
Inventing the internet.
I studied Telecommunications at the Uni, so I'd professionally work to on developing some kind of a network :) of course not solo but as a part of global corporation or something