You are definitely able to monitor your driveway with any basic webcam and there are a couple of different software options out there to help you out with motion detection and recording.
I would suggest iWatchLife which you can download for free at www.iwatchlife.com/free-trial. It's very simple to install and once you have an account, you will be able to associate it to as many webcams as you would like and view the footage from any computer or internet-enabled device (such as a smart phone or tablet). iWatchLife also has superior smart motion detection so you will be alerted by email as soon as there is a disturbance on your property. Good luck!