There are SO many things to do around this lake but don't be fooled! The lake is HUGE so if you plan to experience one of these incredible destinations make sure to plan accordingly! There are various public transit options available (bus, ferry, etc) or it may be best to rent a car. Other destinations a bit farther from the lake include the Italian Dolomites, Verona, Santuario Madonna della Corona, and Venice.
For other inspirations around the lake, please see
https://www.earthtrekkers.com/best-things-to-do-in-lake-garda/