The Wii's new web browser launched on the day I left town (and my Wii) for Christmas. I'm back now, and exploring the browser. I'm making this blog post from my Wii, in fact.
Typing with the Wii remote takes a long time. I've also had the browser freeze up twice, both times at gmail. Still, browsing the web from the Wii is a fun novelty for now. Time will tell if it is useful.