Hi Malcomtent--welcome to EpicSki! You've gotten some good advice already, but I'll add this.
First, if you have a newish SLR, especially one of the current digital SLR's, their meters are very sophisticated and will do a surprisingly good job even in automatic. You may want to play with the "backlight compensation" function, and some have a special "snow and sand" program that may work well.
But there is an ancient rule of thumb that still works great with any camera in full manual mode, called the "sunny 16 rule": on a bright, sunny day, when your subject is in full sunlight, the correct exposure is 1/film speed at f/16.
In other words, say you are using ASA-200 film (or a digital camera set to that equivalence) on said bright, sunny day. At an aperture of f16, the proper shutter speed would be 1/200 of a second. The closest speed to that on most cameras is 1/250, which would be fine.
Of course, you may want a faster shutter speed than that to stop high speed ski action. As you probably know, each full f-stop that you open the aperture doubles the amount of light entering the lens, so you would half the shutter speed. So 1/250 at f16 is the same exposure as 1/500 at f11, 1/1000 at f8, 1/2000 at f5.6, and so on. Any of these would give you a good exposure on 200-speed film in bright sun.
This "Sunny-16 Rule" is where MtBakerSkier's suggestion for 1/1000 at f5.6 on 100-speed film comes from, as you could calculate (1/125 at f16 is equivalent to 1/1000 at f5.6). It's a great guideline for any tricky lighting situation, including snow, whitewater, sand. . . even shooting telephoto photographs of a full moon in a black sky (which, of course, is illuminated by bright sun!).
Remember that clouds will change everything, as will filters (polarizers, etc.), haze, and shadows. You might want to trust that automatic light meter after all! Another useful trick for photographs with a lot of white snow in the background is simply to overexpose by two stops. You can trick your camera into doing this "automatically" by setting the film speed two speeds faster (1/4 the ASA number) than the actual film you're using (i.e. set your camera for 50 if you are using ASA-200 film, 100 with ASA-400 film, and so on). Then just shoot away on automatic. Especially if you're shooting print film, this usually works fine. (Print film exposure is not quite as critical as slide film.)
That should get you going. Now send us some pictures!