May 18, 2016 - 7:27 AM
Hi koyrose,
It takes close to 4.5 hours to reach Jungfraujoch from Lucerne. So it's a very long day trip and you really have no other option than leaving pretty early. The timetable provides all options. The Swiss Travel Pass includes all trains until Wengen/Grindelwald, and a 25% discount from there. The first link in my previous post gives you all the details.
I prefer Jungfraujoch over Pilatus, but that's without taking the point of departure into account. When staying in Lucerne, a visit to Pilatus makes more sense, and there are plenty of other options as well. Pilatus will not have snow in June. Well, a bit as an exception is possible, but not likely. Mount Titlis is a good option as well. There will be snow there.