You don't need to be of strong faith to enjoy the peaceful atmosphere of Albacete Cathedral. Look up when the next service is scheduled or when you can go for a wander through.
When you've finished at this principal church in Albacete, why not make your way to Albacete Circuit, Albacete Fairgrounds, and Carlos Belmonte Stadium? They're not far from Albacete Cathedral and also popular with travelers.