yes, the Wii has an ONLINE feature. You can surf the net, or check your email, or go wander around. They also have a private store that you can download games directly to your Wii. you can store them on the internal memory, or you can buy a separate memory card to store them on. SD cards are pretty cheap now. If you get a USB or wireless keyboard and mouse, you can surf kinda like your normal computer.
you are gonna love it!