You should be able to. I don't know what you want to do about sound though. I'm assuming though that the cable doesn't include connection for the sound output. If you connect the laptop using the cable you have, you should just be able to play the DVD as it will see the projector as an external monitor. Then you could get a cable to run sound to an external sound system.
Well firstly, you'll need a dvd player in your laptop, which i assume you have. If so, the dvd should autorun when you place it in the drive. If not, you'll probably be looking for something like PowerDVD or WinDVD, which should already be installed.