She's pushing from the sides and the bottom to loosen the soil from the cup so that she can pull the plant out in one piece.
Now she can pull the plant out because the soil was loosened properly. She is turning the cup upside down so that the plant comes out easier.
Now she is planting the alyssum plant. First she digs a hole in the potting soil. Next she buries the roots by covering them with soil. Finally she firms the soil around the transplant and waters it.