Hey Q! This is the logo from the record store that was around when I was a small Glad (not a fully developed Gladys)
This record store was around from the 70's, so from the time I was in Jr. Hi. It was one of only a coupla places you could go and browse records. For you youngsters, it was like the comic book store in Big Bang Theory. But bigger, with good music playing (clerk's choice) and bongs and Zig Zag papers at the counter.
I remember the day that the meaning on the logo dawned on me - I remember it CLEARLY. I was like
"OH! LICORICE PIZZA! hey did you guys know...?" and the people I was with did this