The sky during a blue moon looks exactly the same as it does on any other night!

The term "blue moon" doesn't refer to the color of the moon. It's a rare event, often described as a "second full moon in a calendar month."

While there are rare instances where the moon might appear blue due to atmospheric conditions like volcanic eruptions or forest fires (which scatter red light, making the moon appear blue), this is not what is usually meant by "blue moon."