I've previously covered the French Hospital's long history, so I won't rehash it here.
The building was originally a two-story adobe, shown here on an 1894 Sanborn Fire Insurance Map:
An expansion was approved in 1985. The wings at the back of the building must have been rebuilt between 1953 and 1985, based on the building's current footprint (and the wood-framed nurses' home has long since disappeared). The building's current owners and operators, Allied Pacific, have kept the historic building and reopened it as an urgent care center.