See if you can attend a service at Jewish synagogue of the XVI century. You'll learn a few things about the customs, traditions and practices of the Jewish religion.
You'll have no end of sightseeing choices when visiting Sharhorod. Jewish synagogue of the XVI century is a great place to kick off here, but there are lots of other worthy places to consider. St. Nicholas Monastery Shargorodskii, and Church of St. Florian are near the Jewish house of worship and will top off your day nicely.