Wii node on wii u contains no online functionality.
The only way to get rhat wii game on your wii u is to download it to an actual wii, and system transfer.
I talked to the Nintendo tech support via online chat and was certainly led to believe there was. The Internet connection setup has an icon on the left of the saved connection that lists the modes it is supported in. Virtual console is still available to download titles from. Supposedly tkip isn't supported on wpa2 in wii mode and neither is 5.0 ghz. I've got it setup indicating support for both wii and wii u, no dice though.