No current releases yet support the wii's wireless networking capabilities. This means, that if you want to access the internet or another aspect of your network, you will need a wii usb-to-ethernet adapter.
*Seems similar to bertjan's but was announced first, can be installed normally like any other homebrew app (no partitioning needed), and includes many more features.
*It was momentarily leaked but it was soon, for lack of a better term, unleaked.
*A release is expected within the next few weeks.