The hike starts at the cable car terminus. Take the cable car from Intschi; there’s a pay-and-display car park directly opposite.
(S/E) You should then walk along the lake and not take the first signposted path towards the Sunniggrathütte, which is listed as a 2h40 walk. Continue along the lake until you reach the next junction.
(1) Take the path that branches off to your left. The ascent is in the shade of the forest. It is well signposted and an easy path, but the climb remains steep and the path is covered in roots, before emerging from the forest.
(2) Sunniggrathütte. You can take this opportunity to leave your rucksack behind and continue light-packed to the summit, which is a 15-minute walk away.
(3) Summit, with views of the surrounding peaks and Lake Lucerne. The return journey follows the same route back to the cable car station (S/E).