This is exactly what InfernoGirl already said, but just a bit more:
It sounds like you're describing a "half top" option.
For a 2009, that's a combination of three parts: A Bikini top, a Duster (tonneau cover) and a Windjammer (piece that drops down behind the seats).
We sell this combo sewn together for a TJ, but for a JK, you need to buy the bundle. More flexible, but less weatherproof. Quad sells it as a bundle, but you can buy all three pieces anywhere,
Hard Half Tops are also available from other companies - it's not cheap, but it's a cool look. AEV makes a nice one.