Yes the opera runs a Chariot shuttle not sure how it works but check their website
No bus specifically for that short trip.
There always was a bus last year. Don't know about this though
I don't think so but for people without mobility issues, it's an easy walk on flat terrain. If transport is required, it would cost very little with either uber/lyft or by cab. I recommend arriving early and enjoying a meal, glass of wine or the like, either at the many restaurants nearby or at opera cafe.
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