I had a d and c a month ago. Got my period exactly a month later. Is it possible to get pregnant? If possible will it be a normal pregnancy?

Yes it is possible . After a miscarraige you quickly return to your normal fertility state and it is possible to get pregnant again. As for predict the future of your next pregnancy no one can say. Having one miscarriage in the past certainly does not mean you could not have a normal pregnancy in the future.