Depends on when you're talking about. When I got my Ripco internet account in 1994, they made me get a parents' signature on a waiver before I could have access because I might encounter adult conversations and pictures of naked people.
This led to an hour-long discussion starting with "what's the Internet?" and "admit it, you just want to go on there to see naked people" before my dad signed off.
They younger people around me were exposed to the Internet first, through BBSs, Prodigy, and AOL. But the adults around me couldn't care less. Maybe it was a suburban vs urban thing?
What's funny is how quickly all that changed. It only took a couple years for the Internet to become a household word where I grew up.
Something only people who never lived far from the coasts would believe. Ha ha.