I can't remember it's been so long and so many lives ago...
My first 'beyond my tape storage device' exposure was the wonderful dial-up modem days with the cradle for the phone handset, and I can still remember the sound of the electronic handshake when the devices connected. That was long before the Internet and I was typically connecting to bulletin boards and playing early versions of online games (go figure). I was also amazed how fast certain types of pictures started appearing...
And yeah Daz I got the early DOOM versions too. Had all my special config.sys files so that I could squeeze every drop out of the whopping 16k memory (or was it 4/8 back then) that I had to cram it into the system. For it's day the best game by far (still rivals some modern ones IMHO).
I don't remember much changing for me after that until cable broadband was available in my home town and the birth of AOL and Yahoo. And shared games with chat rooms.