can I use the Wi-Fi adaptor to connect my COMPUTER to a wireless network?

This may be a dumb question, but I'll ask anyway:

I'm gonna be getting a wireless router soon. I'll be hooking up my consoles through the wired ports, but for the PC I'll be going wireless. I don't have a wireless card for my PC yet, but I do have the Nintento Wi-Fi adaptor. Could my PC use that to access the wireless router and go online? Or is it only designed to allow other devices to share your PC's connection?

No. The wi-fi adaptor is used to take a network-connected PC and send out a wireless signal for the DS/Wii to use. You're asking for the reverse--for the wifi adaptor to receive wireless network signals to provide network connectivitiy.

Disclaimer: I don't own this device and so could be completely wrong.

Yes, it's possible, but you'll have to do a little tweaking and I can't guarantee it will work. Follow the steps here:

http://forums.afterdawn.com/thread_view.cfm/390312

And have the dongle go into Station mode instead of SoftAP mode. You can then proceed to scan for a wireless network and try to connect.