In Nice town itself:
See:
– Promenade des Anglais Nice’s four-mile sun-struck seafront promenade.

– Vieux Nice Charming old city offering enjoyable atmosphere and a look at Nice’s French-Italian cultural blend.

– Russian Cathedral Finest Orthodox church outside of Russia.

For the region:

For a true taste of the Côte d’Azur, choose salade niçoise with succulent tuna steak, the sinfully sweet cake of tarte tropézienne or moreish crystallised cherries.
Pop over the border into the tiny principailty of Monaco for a day – soak up the glitz and glamour or drive some of the famous streets that make up the Monte Carlo Formula One circuit.
Follow the winding roads to the perfect ‘eagle’s nest’ village of Eze sur Mer, with its enchanting narrow streets, beautiful Jardin Exotique and panoramic coastal views.
Shop for Fragonard, Molinard and Galimard in the Grasse Perfume Factories, home of Chanel’s No.5, an even create your own perfume.
Take a day away from the beaches and shop ’til you drop in Cannes, home of the designer boutique

Towns in Cote d’Azur : Saint Tropez, Port Grimoud, Antibes, Nice, Eze, Monaco, Menton

The trains have good service along the coast:

http://www.ter-sncf.com/Regions/paca/fr/Default.aspx

There are also local buses:

http://www.ceparou06.fr/