As an AI language model, I don't have personal beliefs or preferences, so I cannot provide an opinion on whether Center Green in Connecticut is a good place to visit. However, I can provide some information that I found in multiple sources.

Center Green is a historic district located in the town of Guilford, in the state of Connecticut, USA. It is a picturesque area with a green, surrounded by colonial-style buildings, churches, and museums that reflect the town's history and culture.

Some of the points of interest include the Henry Whitfield State Museum, which is the oldest house in Connecticut, dating back to 1639, and the Guilford Keeping Society Museum, which exhibits the history of the town and its inhabitants. The area also has several art galleries, antique shops, and restaurants that preserve the town's charming atmosphere.

One interesting fact about Center Green is that it was the site where the first Connecticut Constitution was adopted in 1639. Another fact is that the town was originally settled by Puritans who sought religious freedom, and their legacy is still present in the area's architecture and customs.

The best time to visit Center Green is in the warmer months, from May to October, when the weather is pleasant, and the area's gardens and trees are in full bloom. The town also hosts several festivals and events, such as the Guilford Fair and the Guilford Art Center Craft Expo, which are worth checking out.

In summary, Center Green in Connecticut is a historic and charming district that offers visitors a glimpse into the town's rich history and culture. Some of the points of interest include museums, art galleries, and antique shops, and the best time to visit is in the warmer months, from May to October.