So, gave this Hollywood breakfast hang a try this morning, for the fist and probably last time. Square One (4854 Fountain, (323) 661-1109) is located on Fountain, right behind the giant slate blue Scientology center, just south of Kaiser. There is no restaurant parking, and finding street parking within reasonable walking distance is a challenge. After driving around for 15 minutes or so, we found a spot about two blocks away, and hoofed it on over. The place is small and cute, with some indoor seating and a nice looking patio (for when it's not 100 degrees out). At 9:30, we walked right in, but the place filled up as we were eating. There's a big chalk board on the wall with a long spiel about how they're into organic, local, sustainable, etc.
I ordered a baked egg dish with chorizo, that was, I thought, terrible. Served in a small cast iron skillet which appeared to be unseasoned (probably because they run it through a dish washer), it turned the food it came into contact with grey/black. It also burned the crap out of the portion of the egg it touched, while the center of the dish was uncooked. Clear, jiggly, uncooked egg white is a big turn off for me. The dish had egg, chorizo, a tortilla (I think), and about a quarter cup of chili paste, and was garnished with two little pieces of untoasted bread. The chili paste was overwhelmingly spicy, masking the flavor of the other ingredients, which was actually in this case a good thing.
The Missus ordered a pressed scrambled egg sandwich, which wasn't as bad as my dish, but wasn't good either. Rubbery scrambled egg with tomato, basil (I think) on grilled brioche/egg bread. The bread was good, and it must have been lonely. Served with grits, which were undercooked and bland. Oh, they had very good fresh squeezed oj. Tea, etc. was unremarkable. Service was friendly and attentive.
All-in-all, I might return to this place if I lived within walking distance. Maybe there are items on their menu worth eating, but we didn't find them this morning. Don't know why I'd spend the time hunting for a place to park given that I can get a considerably better breakfast (with no parking hassle) at Ammo or the Pacific Dining Car.