Yes i believe parking is free until season starts this memorial day 2019. But after that for CT residents its now free because the state collects it at vehicle registration time. For out of state vehicles they will charge. I don't believe its more than $7-$10. But the CT parks website has that info. I was there a few weeks ago and the bathrooms were closed just fyi.
As far as I know it still is. The season it's not officially open.
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