no it needs to manually be installed. Vista is the only OS to support wireless out of the box, and even then its support is poor, you nearly always need drivers for the manufacturer.
Its hard to find 2k drivers, try ones for XP / XP Sp1 if there are none specifically for windows 2000. I dont think ones for XP SP2 will work as they changed the way wireless is handled a lot under SP2
Windows 2000 has no interface for configuring wireless, so you will have to use the manufacturers own control panel
Im not sure if 2000 will even run on the eee. Be sure to integrate SP4 anyway.