Go to Wii Options in the lower left.
Click on Wii Settings to the right.
From this first list, click the right arrow.
Now on page 2, click on Internet.
Then click Connection Settings.
From this list, click Connection 1.
Then, click Wireless Connection...
and then click Search for an Access Point.
It will briefly search for any access points and when this screen comes up, click OK.
The following will be a list of nearby access points. If the one you are looking for doesn't show up, click Try again. Then, click the one you have access to...
When the following screen appears, click OK...
and OK again.
It will test the connection...