In this context it means or implies "very little." "Nominal"
means "in name only"--that is, technically there's a charge, but it
doesn't really amount to anything. It's minimal. It's a token
amount.
Be a bit cautious, though. Your idea of "minimal" or "very
little" might not be the same as that of whoever is doing the
charging.
In that context, nominal means small, as in low cost.