Enjoy a wonderful meal at Les Armures ( http://www.hotel-les-armures.ch/resto_e/index.html ) which is in the old city. After your meal, just meander in the old city. It's just lovely. Stop into Manor and meander around such a large and wonderful store. They've got the best prices on chocolates. Walk over the bridges where the Rhone begins. The views of the Jet d'eau are wonderful. Perhaps walk in the many parks on Lac Leman. The bus system is fantastic in Geneva. Just buy a one-day pass and you can go on and off the fabulous network of buses Geneva calls its own.

My husband and I took the #10 bus from the airport to Cornavin (which is in the center of every bus route in the main part of town) and it took maybe 20 minutes. I love the buses.