There’s a slightly utilitarian ring to the hallways and some of the guest rooms here, probably because for many centuries the 13th-century palazzo served as a cloistered convent. The enclosed gardens are still in place, and a little terrace looks across miles of countryside. There’s also a small pool, the only one inside the city walls and reason enough to stay here in the summer. Some rooms are merely functional, while others are nicely turned out with a mix of modern and traditional furnishings. The best rooms overlook the gardens and sweeping landscapes beyond.