I cant really tell if the board you have includes a processor. Run the program sysinfo in your utilities drawer, it'll let you know what's the processor in your system.
As for the network card, check cnet.device on aminet. It is a driver for pcmcia network cards. You'll also need a TCP/IP stack like Miami, or if you go for the 3.9 OS, Genesis is included. The driver will be loaded by the TCP stack.