Whether or not they're still home to people who have answered a higher calling, convents have a tranquil atmosphere to them. Stop by Convent of San Juan de la Penitencia and enjoy the peacefulness.
You'll soon see why this Alcala de Henares community of nuns is visited by many travelers. If you're looking for other things to keep you busy, Parque Europa, University of Alcala, and Convent of Las Clarisas de San Diego are in this area as well. They won't take very long to get to from Convent of San Juan de la Penitencia.