This is the hospital where Carlisle and Dr. Snow work.
Twilight
Main article: Twilight
In Twilight, Bella, Edward and Tyler are taken to the hospital after Tyler nearly hits Bella with his van. Bella has to wear a neck brace, which she finds humiliating.
New Moon
Main article: New Moon
In New Moon, Carlisle offers to take Bella to the hospital to bandage her arm, but she refuses.
When the Cullens come back, the hospital eagerly welcomes Carlisle back, delighted that Esme had "found life in L.A. so little to her liking".