I'm at work and my Wii is in Noosa but the beta of the browser was just released for free. Full version coming in March (also free).
If you do not download it before June 07 it will cost a one off 500 Wii Points ($7.50).
It is Flash enabled so should be able to view youtube content etc. A browser on console is sort of redundant, but I guess it would be okay for quickly checking things while on the lounge.
for mouse compatible flash games. promoted forum item