You could try negotiating, but as a new grad, it'll be a little more difficult...you're not coming to them as a nurse with a lot of experience. Negotiating means that you will also have something valuable in return to offer them to make them feel more agreeable to increasing the $$.
Getting a day shift job right out of school is a huge deal; most places there's a waiting list of people with more seniority whho want days, so take that into consideration.
I don't know; if the pay is good, the bene's are good, and you're getting day shift as a new grad, then I'd probably go with that offer...if you had more exp. I might feel differently.
I am all for advocating for nurses to get as much as they can, but you do have to start somewhere; once you have exp., negotiating might be a little easier. Remeber that you are also being taken in as a new grad, so your employer is also going to be responsible for dong a lot of teaching, helping you develop your skills as a nurse.
Just some things to consider...
Oh, and I am not dissing new grads; we need new blood in the profession.