recurve:
http://www.martinarchery.com/layout/images/zoom/dreamcatcher.jpg

longbow:
http://www.martinarchery.com/layout/images/zoom/savannah.jpg

That is what each looks like, I myself am fairly new to traditional so don't quote me on anything but I was told that recurves are easier to learn on, but that could be heresay also I have heard that a recurve will have more of a shelf. this is what I have heard personally I started with a recurve and I love it. plus I like the way they look better. But thats all personal preference try them both see what you like and hopefully someone with better knowledge of this sport will help you out.