External Display Compatibility Question

Hello,

I have a Macbook Pro I bought new in June 2008 (Not Uni-body). It's a 15 inch with the standard options. I want to make a desktop setup on a budget and I'm wondering if my MBP will fill up this display at the complete resolution (1920 x 1080) and if it will function completely with the peripherals on the monitor.

http://tinyurl.com/lsadtn - Here is the display I'm looking at. Seems like a good deal, but I haven't done a lot of shopping around. I don't do graphic design and as I said, I'm on a budget, so the Apple displays are out of the question.

Thanks!
Tim