Unfortunately the time has come for your last day of staying in this gorgeous city. For your final day in Lucerne I would start out by going to the local market in Alstadt by the Chapel Bridge and picking up some breakfast to eat before starting your final day of activities. First up on the activity list is to once again revisit the various alleys that run through the city and get any last minute shopping for souvenirs done.
After shopping get some lunch of any restaurant in town of your choosing as they are all very good and offer just about the same type of food. I personally would suggest something by the Chapel Bridge as you will have great outside views of the lake. Once lunch is complete there is an excellent Gelato store along the row of buildings surrounding the chapel bridge. Grab some Gelato and head on over to the banks of Lake Lucerne and rent out a paddle boat to relax and take in the mountainous views across Lake Lucerne while enjoying your gelato. 
After your paddle boating adventure its time to do any last minute exploring around the city before settling down and having one final dinner in Lucerne. I hope you enjoyed your stay in Lucerne and any of my advice was helpful
