Well, for her gravity related powers what she does is rather simple and is the reason why she gets so tired after prolonged use of it. She uses her power constantly to bring gravitons together, in other words, she compresses gravity to make the illusion that it is solid (Though it has just become thicker) and use it in battle. It differs from the gravity trap due to the fact that it becomes a 'mini black-hole' of sorts, since it can't really eat anything in its way, but it still sucks in gravity and light and draws things and people towards it, while not actually devouring them.

She can fly by altering the gravity around her and using the same principle as 'floortilting', she shifts the flow of her gravity to be able to move around freely through the air and as a living being it is easier for her to move around and actually stay in earth without being thrown out into space, besides of her ability to control gravity.

Hope that answered your questions, ERode. :P