Yep, those are parakeets all right!
These guys were fun to watch, but they weren't really interested in having their pictures taken. They spent a few seconds on the ground drinking from puddles, but then they were flying off into the trees where their green feathers blended perfectly with the leaves, and I would never have even known they were there if it weren't for the (loud, raucous) sounds they were making.
From what I've read online, there's been some sort of controversy surrounding these birds in Connecticut. A few years ago, the state and a major utility company started an initiative to kill the Monk Parakeets because they were building their large nests on utility poles and causing electrical problems. Then people protested. So the company started removing problematic nests instead of killing the birds outright, but it doesn't sound like that program was having much success. I'm not sure what the official policy about these birds is now. It's also interesting to see Monk Parakeets described as akin to European Starlings or House Sparrows (i.e., a kind of annoying introduced species) on the Connecticut Audubon Society blog. In any case, it seems like these colorful creatures have a strong foothold in the area and won't be leaving any time soon!
OK, but seriously, parakeets in Connecticut.... Pretty weird!