Hello, I have a harbor breeze ceiling fan and light fixture with white, blue, black and green wires. From electrical box I have Black, Black and green. I know green goes with green, where do the other three go to?

Look again, should be black, white and green.
If not, open switch and tell us what's there.

What was in the electrical box before, and how was it connected? How old is the house/wiring?

Ceiling Fan Wiring - Ceiling Fans N More