Yes, it will.
Here is the search parameter I used to get to the Wiki and then to the official website, which told me the system requirements, which led me to my answer.
I also could have just clicked the link two down from the Wiki link in the search result and would have saved one click and a bit of scrolling. Ah, it's stressful, I tell ya.
I believe D3 will run on your machine quite smoothly.
This is the D3 recommended system requirements.
Mac® OS X 10.7.x or newer
Intel® Core 2 Duo
2 GB RAM
NVIDIA® GeForce® GT 330M or ATI Radeon HD 4670 or better
Yes it will. I have a 2.4 Macbook pro from 2011 with the 1gb video card and i7. I can run on FULL settings. You should be able to run on Mediums just fine.
NO it will not run at all sorry, you bought this computer within the last year, there is no way it can play any modern games.
On a serious note, do some research, look at the system requirements and use your brain power to work out that this computer will run the game with ease.