Be aware that if you inadvertently drive your car into Zermatt, you will be fined 350CHF on the spot. The Swiss German policemen will not accept an excuse that you didn't see the sign he will show you a photocopy of a photo of the sign and tell you that he is only doing his job.If you have never been to Zermatt before and are not a skier or walker and are not aware that it is a car free zone, it is easy to miss the sign.
By taxi
Many of the higher-end hotels have porters who will meet you at the station with a small electric car/truck and will ferry you directly to check in, depositing the luggage in your room. A few of the really exclusive ones still use horse-drawn carriages.
On foot
The village of Zermatt, while dense, is geographically very small. There are three main streets which run along the banks of the river Vispa, and numerous cross-streets, especially around the station and the church which forms the center of the village. In general anything is at most a twenty minute walk away if you are fit.
During the summer there are roads and hiking trails leading up to a number of year-round restaurants in the direction of the Matterhorn.
Gornergrat Railway
A railway to the top of Mount Gornergrat. 36 CHF one way. Allow a few hours and enjoy the great view and the sunny place. A nice trip is to take the train up and hike down.
Cable Car
There are a series of cable car runs leading all the way to the summit of the Klein Matterhorn 3883m, presenting the highest scenic outlook platform in Europe. A ride along the entire series costs 82CHF about 55EUR round trip.
By bus
There is a small fleet of electric or solar powered buses that go from one end of town to the other and to all the ski stations every 8 to 10 minutes. They are included in the ski-pass and are a good way of easily getting around town, though they don't go down the main street Bahnhofstrasse.