Break also means a gap in something, an interruption, something that stops for a short period. (Closely related to the idea of "let's take a break" - let's have a gap in the work we're doing, let's interrupt our work.)
(Note: Stop FOR a short period, not AT a short period.)
The winds were blowing with great strength. California was being affected by them. For now, California can take a break because the winds have stopped. They are getting a break (a brief rest). There is a break (a short pause) in the winds.