I've only been using it since 1986 (email on bitnet via a Gateway from x.25 access to a remote server). My earlier use of BBS and Prestel in 1982 wasn't Internet type services.
I had web browser Mosaic from 1994 and my own websites since 1996
Hm, Parson racks his brain trying to bring some order to it. I got my first computer the aforementioned 8088 in 1989. Shortly thereafter, but perhaps longer than I realized, a friend and I linked our two computers together (it took a long time to accomplish) and sent some messages. Since we were connected via long distance telephone it was much more expensive than actually calling one another, so we only did it once. Then a year or two later I joined Compuserve; 199............
[Palm to Forehead!] I was conflating two things. My first computer to computer chatting was about 94, Compuserve 95 .... Sorry!!
The internet (but not websites) certainly existed before 1989. But access outside of military, big corporates and University was complicated. So to do email with people on the Nacent Internet I had to get an account on a server in London. It let me send and receive Telexes and fax too. Sending fax from computer, but the server people printed out incoming faxes and posted them in the mail.
I used 300 baud dialup on CP/M to access an X.25 Pad in Belfast, from Co. Clare. Then used commands to navigate UK X.25 network and log on to the server in London. Then I could send/receive X.400, internet mail, fax and Telex.
Dialing Belfast was much cheaper then than dialling London server direct.