Well, it said that he wanted to continue on with his life now. As in after the ordeal. I know he thought he was dead and what not.
Never at one point did he think he was dead. He thought he was
going to die, but never that he actually did die.
Being shot in the brain doesn't have to result in death. If a not so important part is shot then, it's fine. If a useful part was shot or a part that leads to important parts and could cut off connection to that section was shot, then yeah death
From what I looked up on the internet it's possible to get shot in the head and live. There's not much links saying what happens if someone gets shot in the brain though. They are either brain-dead or simply dead; I can't find stories that state you can get shot in the brain and still have the ability to function in society.
EDIT
One article I found is about a boy that got shot in the head, but he was proclaimed brain-dead. They had him on advanced life support, since doctors wanted to harvest his organs.