There are many shrines, temples, and museums in Izumo. You can experience in a part of those facilities.
Shinto shrines are where Japanese gods are worshipped. Because a shrine is considered a divine area where deities and spirits descend, an entrance gate (torii) separates the regular world and this sanctuary.
At a Shinto shrine, the most common worship ritual is to bow twice, clap your hands twice, and then bow once again, but at a Buddhist temple hands are instead joined together in prayer without clapping.
A temple will have a Buddha statue and a monk living and preaching Buddhism in the temple.
Zazen is a meditative discipline that is typically the primary practice of the Zen Buddhist tradition.
In Izumo City there are various museums such as Izumo Cultural Heritage Museum, Museum of Ancient Izumo, Izumo Museum of Quilt Art, Izumo Yayoi no Mori Historical Museum.