As for New England and Boston, sunshine will give way to an approaching weak area of low pressure now over the Great Lakes.
Most of the light precipitation will fall as rain. There will likely be 2 batches of rain, the first arriving through Boston around 3 PM and the next arriving later after 7 PM.
As the evening goes on,
and the air cools, some snow may mix in and fall across the area. In
most places it will not stick, but in the higher elevations and in
Southern NE (RI, CT) where the precipitation will be last to leave, 1/2
inch of snow may accumulate.