If you understand how a lens works, you will understand what all lens do.
First off is focal length, for example "18-55mm" written on a kit lens. The human eye sees at the similar focal range and angle of view as 50mm on a digital full frame or film camera. (roughly 30mm on a 1.6x crop sensor [ i.e canon 400d ] )
So basically speaking, on a canon 400D, to zoom in double what you see, you would need to use 60mm.
Next up is aperture, for example "f/3.5-f/5.6" written on a kit lens. These are the minimum apertures at both ends of the focal range. So at 18mm the minimum aperture is f/3.5, and at 55mm the minimum aperture is f/5.6 (although f/5.6 will probably take effect at around 40mm). The lower the f/number means the faster the lens is. This is why fixed aperture lens (i.e. f/2.8) are so expensive. Aperture controls the size of the opening in a lens, effecting how much light passes through the lens to the sensor. A low aperture (i.e. f/3.5) means the hole is
larger, letting more light to the sensor. A higher aperture (i.e. f/11) means the hole is
smaller, letting less light to the sensor. As seen below in the diagram (image originally hosted by
www.shortcourses.com)
Aperture also effects depth of field (the distance infront and behind of your focal point). A low aperture will give you a small DOF, a high aperture will give you a larger DOF.
For example:
F/2.8
f/16
There are many abbreviations manufactures use for extra features of a lens. Most of the descriptions for these can be found on their site.