1995, using a 386 with 4 MB of RAM. I used an internet service provider called GNN with a 14400 baud modem. I still have the GNN installation diskette and the package it came in. The first site I visited was a website that was written on a music magazine as it was the only URL I had. I remember the website having very little information, so I then tried to find the weather online. Then the phone rang and disconnected me. I used IRC quite a bit back in those days. Seems like from 1995-1998, I went through a lot of ISPs, like CompuServe, AOL, Prodigy, Earthlink... In around 1997, I got a dedicated phone line for the Internet.
Plan your life wisely, you'll be dead before you know it.