Amiga systems have no serious support for webbrowsers nowadays. There are several browsers but none, with the exeption of A-Web, is been developed recently. Look at it this way; the amiga can compete with PDA web browsers but even competing with portables it looses on some fronts.
Where is Java? Where is Flash? Streaming video anyone? Maybe my 060 will be able to do a little but I doubt the avarage A1200D is able to.
If you're really after browsing I can only give on economically viable advice; get a PC.