Can you help me to remember the name of this movie?

I watched a movie sometime in the last year, and I remember thinking that it was very cute – but I can not remember the name of it for the life of me.
It was a chick-flick, I don’t know if it is considered a romance or a romantic comedy, I’m not good with that sort of thing.
The storyline is that there is a young man that works at a movie rental place, and a young woman comes in and rents pornography. He becomes fascinated by her and starts following her, and ultimately begins talking to her – only to find that she is mentally ill, and spends most of her time hiding in her apartment. He uses her movie rentals as a spring board to open up a dialog, and slowly manages to get her to open up to him.
There is also some backstory woven in where the girl is financially dependent on her very wealthy father, but he turns out to be an abusive man who wields his money to control her. At the end of the movie she ends up cutting him out of her life.

That’s all that I can remember offhand. It’s a relatively new movie, but I don’t think it was particularly well known.