The easiest way to reach the summit is from the Klein Matterhorn lift station. The tour can be completed in one day or in conjunction with a multi-day tour of the Monte Rosa massif. The Pollux can be climbed in the summer and the winter. In winter it can be done in combination with a beautiful ski decent over the Schwarztor.
The ascent to the Pollux summit is not particularly long (1 - 1.5 hours). It does however have a more demanding climbing section (difficulty level 2).