There are no USB PCMCIA adaptors. So unless you teather wifi in WEP mode, or use a wifi to Ethernet bridge hanging off the back of the machine, your options are limited or even non existing.
Also you need a later mac os to run Clasilla which is the only browser that supports modern SSL. And you need quite a bit of RAM and virtual memory to run it decently. If you need text only browsing, pretty much anything will work as long as it is not SSL, or the text isnt rendered or placed via scripting.
But with 8.6+ on a 5300, your class will be over before it gets finished booting up. The 5300 was a road apple.
Youll be a whole lot better off with a kanga, Lombard or something like that. Or heck, maybe a clamshell. They can still handle modern tasks, but still have the coolness look of yesteryear.