Whatever the religion or whoever they're dedicated to, shrines have a way of making you reflect. Visit Chapel of the Ascension and share a moment of silence with the local faithful.
You'll have sightseeing choices galore when in Jerusalem. Chapel of the Ascension is a good place to start here, but there are many other fine spots to visit. Western Wall, Dome of the Rock, and Temple Mount are near the sacred place and will fill in your day nicely.