In reply to Weekend Punter:
Alternatively, the invitation to talk though your CV is a gift - in other words "Please talk to me about the subject you know best". Give them two minutes on your selected highlights (avoiding starting with "After I left school" because everyone does that). Once you've done that, ask him which bits are of most interest to him. He'll probably tell you, and so you can talk about something that you know he's interested in. It saves a non-expert interviewer floundering along wondering what to ask next instead of listening. You should have your two minute spiel off pat and you can even open with "Would you like me to tell you a little about myself?" It enables you to settle down without thinking too hard and watch your counterpart's reactions to each thing you say.
There are a few dead cert questions - 1) Tell me about yourself 2) Why do you want to leave? 3) What will you bring to us?
The head hunter/professional interviewer will almost certainly thank you for your intro and then turn to the back of your CV and work through it with you.
If they ask how much you know about the company, you can say "I know a little, but gained from the outside looking in. I'd be grateful if you could give me an insider's perspective and tell me more about the job". If you don't get the latter, you're shooting blind at what they really want/need.