Hi Charles,
Yes, the network you described is all that is required for the Tivo wireless adapter. I would recommend the Tivo brand wireless adapter, it is the only adapter you can use that is compatible with a WPA encrypted network (if that is the protection your network is configured with). The wireless adapter is plug and play, plug it in, tell the tivo what encryption your network is using, enter your networks security key, and it should work great.
If you can plug in using a ethernet wire instead of wireless, then the configuration is even easier.