In my experience you will need a 020 minimum, 2MB Chip and 2MB + Fast RAM. OS 2+, a HD (10MB +) and TCP/IP software (Miami, AmiTCP, Genesis, Termite TCP, etc), and a network card (Any 16bit PCMCIA for A1200/600) I do not know of any Ethernet cards for the A500. If you got a Slingshot adaptor for the A500 you could use a ZII Ethernet card.
I actually got a A600 on the LAN but was very tight with it's 2MB RAM. But I was able to use FTP. Forget about using a browser on 2MB.
Good luck