I Surf the Web all the time with my A1200.. And the experience its not bad, in fact you can use and do many things despite being outdated the 2 Browsers availables for any Configuration like maybe like you can have.
You know, you can browse almost everything.. What you cant?.. Videos Sites like Youtube, Sites with Flashplayer and shockwave animations..
For me recently i having problems with Facebook, but, Twitter, and other Social Networks, work fine.. Some sites not seen with the original desing than you can see in IE or FireFox, but you can browse.
You can use too, IRC, MSN, FTP, TELNET, and more..
The experience in fact its funny, its diferent to browse in any Peezee, Mac, Linux..be able to enjoy the power of the Amiga, and as with so small a configuration could be achieved much..
Anyway i think if you have whatever Amiga and can put online, goahead..you'll have so much fun..