Cafe Gala on the Sunset Strip has been briefly mentioned before. Some matchbooks of the club are seen in this post,
#21198.
There are several sources that reference the place and some of the entertainers who played there like Bobby Short, Robert Clary and Dorothy Dandridge, as well as many of it's famous clientele.
Hollywood Places
I have found a bit of information about the Sunset location.
It used to be a Spanish style residence before John Walsh turned it into the Cafe Gala in September of 1941. He sold it to Jimmy Dolan in 1948 and it was open well into the 1950's. By 1957 it was the Har-Omar and featured something exotic called "Cuisine Fantasia." By 1969 it was a Russian-Armenian restaurant called Kavkaz. It became Spago's in 1982, made famous by Wolfgang Puck and agent Swifty Lazar's annual Oscar parties. Spago's decided to move to Beverly Hills in 2001 and, as far as I know, the space has been vacant ever since.
I've been searching for some photos of the location as Cafe Gala or subsequent incarnations.
I managed to find one of the spot when it was Kavkaz and the photo is dated 1973.
Hollywood Photographs
I was watching a youtube video about Los Angeles in the 40's this week and one segment, like many do, was talking about
the nightclubs of Hollywood and they had a small montage of neon signs, mostly from places on Sunset Blvd. and, lo and
behold, there was one for the Cafe Gala.
Screencap from this youtube segment:
https://www.youtube.com/watch?v=6a5WxgysHO4
I am pretty sure the bottom right number that you see "87.9" is the address for the club which is 8795 Sunset Blvd.
(The screen cuts the last number "5" off, although I don't know why there's a dot in it.)