Yup, a DNP gives the holder the title of Doctor. Same as my sister in law, who has a PhD in creative writing. She is a Doctor as well. Al gore is also a Doctor - UT just gave him an 'honorary' doctorate. It doesn't matter whether you have a PhD, DbA, PsyD, DNP, EdD, DPA, MD, DO, DsC, DPT, DPAS, or DCh - each of these doctorate level degrees give the bearer the title of "doctor". Furthermore, it doesn't matter if you earned a doctorate online through Capella, UOP, or Walden, or if you earned it by attending the most rigorous of American medical schools, you have earned the right to be called "doctor".
Of course, my sister in law is smart enough not to use her title in inappropriate places - LIKE IN A MEDICAL SETTING!!! I mean, while she is a doctor, she is not a doctor. She wouldn't want to confuse anyone. Hopefully the DNPs will use the same common sense.