Yes. Parking is free. There are a few parking lots around the hospital and also a parking garage building with several parking floors. Outside parking on the top area is usually full during day but the nearby parking garage usually has space. Good luck and be well.
I don't know about free packing, but if you are worried about parking, contact the hospital or even better, take the Bee-Line bus. Then you wouldn't have to worry about parking. Either that, or take a taxi.
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