Gornergrat: Unique views on the Matterhorn and Gornergrat glacier
There are two different starting places to go to view the Gornergrat glacier; the first originates in Zermatt and the other in Gornergrat station at the top of the Gornergrat Railway. The first is a there and back hike to the glacier outlook where as the other is a point to point from the top of the railway to a lower station.
This first hike is easily done from the town of Zermatt and offers a decently physical hike with an elevation increase and decrease of around 550 meters.
The second hike requires taking the train to Gornergrat station. You can read more information on the train journey here.