You do not have to climb it in order to get to the top.
The round-trip ticket from Garmisch-Partenkirchen to the top that includes a tour on the cogwheel train (Zahnradbahn), glacier cablecar (Gletscherbahn) and Eibseebahn (Eibsee-Seilbahn) is 37.50 euros per person (adult fare), or 29.50 euros per person (adult fare) if you came to Garmisch-Partenkirchen by a DB train and you show your DB ticket at the Zugspitz ticket office.
The Zugspitz train station (Zugspitz Bahnhof) is located about 100 meters away from main train station in Garmisch and the directions to it are well marked.
Not all of the trains that leave the Zugspitz Bahnhof are cogwheel-enabled and, for that reason, sometimes you have to switch trains in Grainau, but no need of being alert. They would let you know in Grainau, if that is to happen.


