On average, the electron in the ground state will be at a certain distance (the Bohr radius) from the nucleus. At different times, the electron might be a little closer to or furhter away from the nucleus.
The electron is just as likely to be on top of the nucleus as beneath it, to the left or to the right of the nucleus… The direction of the electron is completely random, every direction is just as likely.
This is only valid for electrons in the ground state.