There are plenty of walks to be had on Mt. Pilatus Kulm, including one into a rock gallery, one up to the "Oberhaupt" with its mini-weather station and webcam and one to the "Esel" (Donkey) opposite (each of which takes no more than 10 or 15 mins). In summer, there is a clearly marked panoramic trail over to the rather more distant Tomlishorn.
SBB RailAway leisure shop
Combined offer: journey using public transport and leisure offer (also for existing tickets) to Rocky trails on Mt. Pilatus