[geormiet]

I have never bbq'd one...I've never heard of it either. I don't think you can fire up a weber and slap a lobster on it. Maybe grilled lobster tails or something. Broiling is common though.

And no, you don't treat it like a fish.

Boiling is really the best thing, if you want to cook a lobster yourself for the first time this is absolutely the way to go. Just look up online for a cooking chart to see how long to do it for (it depends on the weight). Boil water in a very big pot, and drop the lobster(s) in. When time is up they will be red and ready to eat.
Lobster tastes so good on its own, you don't need to do anything special to it.