I first wrote the quote below first. I'm not so sure now. Maybe some personality is basically damage.
No, I don't think you get a new person. Any damage or distortion won't project onto another person in mindspace, but just a broken or distorted version of you. There may be less of you, but not more of someone else.
"... in an effort to revive the brains of those being kept alive solely through life support. Stem cells will be injected directly into the brain..."
More at:
http://news.discovery.com/tech/biotechnology/dead-could-be-brought-back-to-life-in-medical-trial-160503.htm