All right, let's see what your sneaky glass eye can do!
We'll be using an excellent piece of software called MJPG-streamer for all our webcam capturing needs. Unfortunately, it's not available as an easy-to-install package for Raspbian, so we will have to download and build this software ourselves.
Often when we compile software from source code, the application we're building will want to make use of code libraries and development headers. Our MJPG-streamer application, for example, would like to include functionality for dealing with JPEG images and Video4Linux devices.
pi@raspberrypi ~ $ sudo apt-get install libjpeg8-dev libv4l-dev ...