I do... it was 1995, and someone showed me Netscape Navigator (or was it Mosaic)? I was utterly blown away. It was such a quantum leap over things like Gopher and Telnet. That moment changed my life, and my entire career too for that matter!
Do you remember the very first time you saw the World Wide Web and a browser? Or did you grow up with it, so that that memory is lost in the fog of childhood?