which electrode will have electrons pushed to it
Whether an electrolytic cell or galvanic cell. Reduction (Gain of electrons) occurs at the Cathode (by definition). Now in a galvanic cell, the redox reaction happens spontaneously (without outside power). Now in an electrolytic cell, electrons ARE FORCED (via a voltage) to be reduced at the cathode. In this case the the cathode is negative as a force is required to push the electrons.