Which electrode (the zinc or the copper) is the anode and which is the cathode?
In a zinc-copper galvanic cell or any galvanic cell, the anode is the electrode where oxidation occurs, and the cathode is the electrode where reduction occurs.
Since oxidation involves the loss of electrons, the zinc electrode, where zinc atoms are oxidized to form zinc ions and release electrons, is the anode.
On the other hand, reduction involves the gain of electrons. In the copper electrode, copper ions from the copper sulfate solution gain electrons and are reduced to form copper atoms, so the copper electrode acts as the cathode.