I do not know what a Wii router is, but I assume you mean a WiFi router. That can be used by anyone who has a WiFi card in the system (which laptops always have). Just go to "Connect To" on the start menu. Then you need the password for the router (usually a WPA2 or WEP password).
If you do not know the password, type 192.168.1.1 into the IE address field and hit enter. That brings your router up. If the defaults are still in place, the user name is "Admin" and the password is "Password". That should open your router info where you can find the password.