Closest place I'm aware of is a paid parking lot on Crescent Street right around the corner. Parking is free after 6 PM and on Sundays, and starts at $1 for 2 hours if you're visiting during the day. It's a negligible walk from the lot to GU. Just go from the lot towards Moody Street, and take a left once you get onto it and you're right there.
many side streets have paid lots that are free after 6, and on-street parking nearby isn't that hard to find either
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