I turned my phone off before coming home. The Watch automatically connects to Wifi networks that it knows. In addition to the non-internet related features, I can send and receive messages, and I can look up things using Siri (including Wolfram Alpha questions). I imagine with a future update Apple could easily implement downloading of email, weather, stocks, and so on. Why are more people not talking about this?! Also, when we have native apps, they'll almost certainly be about to use the internet independently of the phone! The Watch has just gained so much more value in my eyes. Imagine the possibilities!