It seems to me we must have seen this place in years past, but a search did not turn up a photo....there was a brief discussion of The Hot Dog Show location in Toluca Lake here....
https://skyscraperpage.com/forum/showthread.php?p=6455033&highlight=Hot+Dog+Show#post6455033
I did some digging, it appears there were a total of 4 locations, all opened in about 1949....450 S. La Cienega Blvd. and 3694 Crenshaw Blvd. as indicated in the below menu, also the store in Toluca Lake on Riverside Dr., which was a local institution for decades until it's closure in 2011, and finally Ontario (there is a photo of that location in the above linked post)....
450 S. La Cienega became the iconic Fatburger in the early '70's, I don't believe it's a location match for the pictured building....the same for Toluca Lake and Ontario....so I figured the subject photo must be of the Crenshaw store.....
3694 Crenshaw would have been about where you see the abandoned cross street here....there was a Ralph's Market and other businesses on this site, as you can see it's been cleared for new development.....
....but I could not match up the streetscape, which still has many older buildings, on the west side of Crenshaw with the background buildings seen in the subject photo....
......however, the Crenshaw store was moved further south in early 1954....
...I have no suggestion whatsoever regarding the reference to a "caddy house".....is this another term for a "caddyshack?"....and why would you have such a structure adjacent to a hot dog stand?....
Anyway, 3730 Crenshaw would be at the NE corner of Crenshaw and Coliseum...
....so it would have been adjacent to Majestic Pontiac, which was at 3740 Crenshaw....note the tall, high-intensity light and neon "Park" sign in the subject photo, these may have been on the Majestic Pontiac property (the Pontiac "Indian" sign was moved to the corner when the property was redeveloped.)
As for the streetscape opposite the hot dog stand (assuming the photo was indeed the NE corner of Crenshaw/Coliseum) I found 1955 new construction permits for O'Conner Lincoln-Mercury, they eventually occupied the NW corner of Crenshaw and Coliseum.....it's possible the subject photo was circa 1954, and the buildings in the background were demolished shortly thereafter to make way for the car dealership....it's also entirely possible I am way off here.
Here's an unidentified woman in front of an unidentified Hot Dog Show location in an undated photo...