How long is your peptide? How much do you have it?
Depending of this two questions:
LC-MS, NMR, 20% acrylamide SDS-PAGE, size-exclusion FPLC can be applied. Please feel free to ask, if I'm not a specialist in the technique for you, we will find someone knows more than both of us;)
Except LC-MS other techniques are useless for your experiment :) You should see both substrate and products.
Please check before how to remove pepsin. Other issue I’m afraid are their self-digestion products (like in case of trypsin?). This you should check carefully.