Well, you need to get yourself a supported PCMCIA WiFi card first. From experience I highly recommend getting a NetGear MA401 11b card, they can be usually got from ebay for a relativly low sum of money.
Then you need a TCP/IP stack and drivers for the above card. So toddle off to AmiNet and get Miami(or MiamiDX) and prism2 drivers for the above card.
And then perhaps a browser, Either AWeb or Ibrowse, google for the url's.
Of course the faster your cpu, and the more RAM the better. But it can all be done on an 030 with 8MB of RAM.
Oh, and when are you coming to SCAG? :-P