From the convention center itself, no. But there are quite a few hotels in the area that do, or it's a quick Uber/ Lyft ride away. Also right on the Green line on the subway, but use the Prudential stop, that one is inside the Prudential Mall that the convention center is attached to. The Hynes stop is actually 2 blocks away outside.
Yes I think there is a shuttle bus service to hynes
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