Something that's done disgracefully is shameful or unpleasant. You might feel like you've been treated disgracefully by a bus driver who kicks you off the bus for talking on your cell phone.
When someone acts disgracefully, they have reason to be embarrassed or ashamed of their behavior. If a teenager torments his younger cousins, his dad may scold him for behaving disgracefully. You might accuse a hotel manager of treating you disgracefully if he refuses to refund your money after a long night of listening to a loud party in the room next to yours. Disgracefully has an Italian root word, disgraziare, which means "misfortune or deformity."