Hi Shivvy
There for the Grand Prix?
There is a great museum actually in the hill in Monaco - dont get mixed up with Monte Carlo. Monaco is the principality on the hill - there is a Jacues Cousteau museum and also the church where Princess Grace is interred - its a very nice place to spend the day.
Otherwise - have a look at this section of my website -
http://www.theoule-apartment.com/cote.aspx
it has some great days out including Eze - which is close to Monte Carlo and St Paul De Vence. Will you be having use of a car - it would pay to do so or there is a great train network that runs into Italy (great market at Ventimiglia on a Friday) or westerly along the coast to places like St Raphael/Theoule sur Mer/La Napoule (castle here) Cannes/Antibes/Juans Les Pins - all worthy of a look.
Good luck and have a great time.
Let me know if you want any more information.