See if you can attend a worship service at Leo Frankel Synagogue. You'll learn about some of the customs, traditions and practices of the Jewish faith.
You'll be spoiled for sightseeing choice when in District II. Leo Frankel Synagogue is a great place to start here, but there are numerous other worthwhile spots to visit. Buda Castle, Gellert Thermal Baths and Swimming Pool, and Parliament Building are not far from the Jewish house of worship and will fill in your day nicely.