You should try to get to the Olympic Museum in Ouchy. They are planning to close it very soon for TWO years for a major reno and addition of a second building.

Yes the market runs through the downtown area (Place St. Francois, Rue de Bourg, Place de la Palud. Place de la Riponne and up to the Place St. Laurent and beyond).

Take a ride on the M2 metro from Ouchy all the way up to the motorway above Lausanne and back.

Lots to do by just wandering around.