M.P.
This is normal behavior for a 15 month old. I suggest she's looking at you and laughing because she's having a good time. Also, at 15 months she has no impulse control. Her brain is still a baby brain and lacks the connections to have control.
Some parents try to battle this sort of behavior with punishment. I don't think it's worth the emotion and time it takes to make a child afraid which is the only reason she would stop. Learning to behave thru fear takes away from the baby's ability to become successful in learning to be self-controlled. Not that you're considering this method. I'm just being more thorough.
You may be able to train her to stay away from the drawers and books but it takes patient, consistent attitude and action. Every time she starts to do this remove her from the area, telling her no she cannot play with this and then take her to something with which she can play. This works with some babies bit it does take time and consistency. I have a friend for whom this worked but her baby had a mild mannered more compliant personality.
So, I agree with Mommyof2Boys. Move all that stuff out of her reach. Put drawer stoppers on the drawers. Block her from the area or room.