Yes. That is the Bradbury Building.
http://en.wikipedia.org/wiki/Bradbury_BuildingMade to look a lot more dilapidated in the movie, Blade Runner...
Built in 1893, the building was commissioned by Los Angeles gold-mining millionaire Lewis L. Bradbury and constructed by draftsman George Wyman from the original design by Sumner Hunt
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The wrought-iron was created in France and displayed at the Chicago World's Fair before being installed in the building.