The answer to your question really depends on what type of polymer electrolyte you are using. If you are using cation exchange membrane (e.g. Nafion) that transports protons (acidic), then both your anode and cathode are an acidic medium. If you are using an anion exchange polymer electrolyte that transports hydroxyl groups, then both your anode and cathode are alkaline. If your system is different from either of those cases, then more details would likely be needed to give an informed opinion.
The answer to your question really depends on what type of polymer electrolyte you are using. If you are using cation exchange membrane (e.g. Nafion) that transports protons (acidic), then both your anode and cathode are an acidic medium. If you are using an anion exchange polymer electrolyte that transports hydroxyl groups, then both your anode and cathode are alkaline. If your system is different from either of those cases, then more details would likely be needed to give an informed opinion.
As mentioned by Prof. Brenda Lee, if you are talking about the conventional proton exchange membrane fuel cells (PEMFCs), in which proton ions generated from hydrogen oxidation reaction (HOR) pass through Nafion (PFSA) and reach the oxygen cathode side, the both electrodes will be acidic.