If seeing the sights is on your list of things to do, head to Zugspitze Summit Cross— just one of the landmarks located 4.3 mi (6.9 km) from central Grainau.
If you want to stretch your legs and breathe in some fresh mountain air, head out to Zugspitze for a bird's-eye view of Grainau. It's also full of great shops and restaurants, so you can spend the afternoon having a wander.