The battery charger forces the galvanic cell to run backwards, turning it into an electrolytic cell.
Cu(s) + Zn2+ ---> Cu2+ + Zn(s)
Reduction now takes place at the Zn (-) electrode.
Oxidation now takes place at the Cu (+) electrode.
Cu2+ + 2 e+ Cu(s) Eo = +0.34 volts
Zn2+ + 2 e+ Zn(s) Eo = -0.76 volts