If you've never woven before, starting on a triangle loom is really fun. It's called continuous strand weaving because there isn't a separate warp and weft, it's all one yarn weaving onto itself. Because of this, there's no set-up time--you just start weaving. And it goes pretty fast, one shawl only takes about 12 hours total. (that's nothing compared to a normal weaving project!)
Here's my finished poncho, it's very warm and soft. I wove a double shawl, one right on top of the other on the frame, and then crocheted the top edges together before taking it off the loom.
If you're looking for a quick and relatively easy weaving project, I would highly recommend triangle loom weaving!