If museums are on your list of things to see, you might want to browse the collections at Parque de Bombas in Ponce Centro. If you want to see more of the museums in Segundo, you can easily walk to Museo de la Musica Puertorriquena or Museum of the History of Ponce.
After visiting Cathedral of Our Lady of Guadalupe, make a plan to see the other sights and activities in Segundo. While in this romantic area, find time to visit its shops.