An art gallery was a place where art was displayed.
The Fourth Doctor and Romana I went to an art gallery in Kensington to find a painting that had been stolen from the Braxiatel Collection. (AUDIO: Tales from the Vault)
The Academia Stellaris was an art gallery on Sirius 5. The Fourth Doctor considered it inferior to the Louvre, opposed to Romana II's opinion. (TV: City of Death)
The Seventh Doctor rescued The Night Watch from the Rijksmuseum in Amsterdam before it burned down and placed it in his art gallery aboard the TARDIS. (AUDIO: Dust Breeding)
The Oriel was a trans-dimensional art gallery in the 37th century. It held the Mona Lisa and all the great artworks from Earth that survived World War V. (COMIC: Art Attack)
The Tenth Doctor took Donna Noble to the art gallery on Uhlala. (PROSE: Shining Darkness)