In 1994, Bagrati Cathedral, together with the Gelati Monastery, was included in UNESCO's World Heritage Site list as a single entity. In 2001, ownership of the cathedral was transferred from the Georgian state to the Georgian Orthodox Church. It is presently of limited use for religious services, but attracts many pilgrims and tourists. It is also frequently used as a symbol of the city of Kutaisi, being one of its main tourist attractions. I recommend to visit in the morning.