We attempted to visit this cathedral twice during our week's stay in Palermo. The first time we were unable to gain full access as it was a Sunday and there were services taking place. The second time we attempted was on the following Saturday. The cathedral is large and airy, although not as beauiful as the one at Monreale. It is well worthwhile paying an extra 3 euros (for seniors) to visit the crypt and the sacred treasures.
The crypt downstairs is part of a 7th century Christian church and we found the atmosphere down there very tranquil despite the numerous sarcophagi. It was certainly less depressing than the catacombs of Palermo. The sacred treasures included part of Saint Agata's forearm enclosed in a silver and glass case. This looked like a piece of twig, but was nonetheless fascinating. We were surprised to be the only visitors to the crypt and sacred treasures museum as the cathedral was otherwise very crowded with sightseers.
All in all this was a fascinating and beautiful cathedral, although not on a par with the one at Monreale.