In Italy, each town has a patron saint. St. John the Baptist is the patron saint of Turin. June 24th is "John the Baptist day" so don't make any major plans in Turin that day, since everything is closed. There is a parade in the morning, lots of activities in the city like concerts at various churches, neighborhood parties, and a big festival on the River at Parco Valentine and Parco Vittorio Emmanuele. Surprisingly, their festival was much like a typical American festival with food booths, games, etc. Poke around through it, mix with the locals, relax & enjoy the day. The best part of the festival is in the evening when there is a big fireworks display overlooking the Po river. Watch the fireworks while eating an Italian version of the elephant ear (which is quite good, if not really that much like an American elephant ear.)
Moncalieri has a patron saint day (I forget the name of their saint) a few days before. They had a wonderful free concert in the church in the main piazza, then followed that up with a fireworks display from the hill and then a stage with clowns in the square.