The Internet Channel is a Nintendo-sanctioned port of the popular Opera browser that has been free to download for your Wii for quite some time.
With the latest builds of Bennu for the Wii, you can now launch any webpage you want from your code. To do so, just add the following line in the appropriate place:
exec(_P_NOWAIT, URL, 0, 0);
And the Internet Channel will open URL. Just remember that your game will quit right after that call and do as needed for a clean shutdown (saving gamestate, unloading resources...).