To look something up on the internet (world wide web). While the phrase "google" implies using mainly the google search engine, the phrase "webble" goes further by implying a broad-based search throughout the entire worldwide web for whatever information you happen to be seeking.
(1) I was looking for information on this new mp3 player I read about, but the guy at the store didn't know anything about it, so I webbled it. I found sites with user reviews and they all said it was actually a piece of junk.
(2) Kathy says to Bob, "Hey Bob, what is the weather supposed to be like this weekend?". Bob replies, "I don't know, let's webble it."
When someone has their hair really messy (e.g. like a bad hair day)
Kane has a webble today because he used too much hairspray!