Depends.
If you just got the e-mail out of the blue -- without having entered some sort of legitimate drawing, contest, sweepstake, or something, for example -- then it is false.
You answer that email and they're going to be spamming you a hundred useless messages a day.
Trust me, nothing is for free. If it's too good to be true, it often is, then.
If they ask you for personal information once you get on their site (where are they going to 'really' mail your prize to, after all?), then that's a sure way to know it's a scam. They'll steal your info and whatever else you give them. Sometimes they'll ask you for a 'small' shipping and handling charge to get your prize to you through the mail.
'All' those poor conned people's shipping and handling soon adds up, making 'them' a fortune. Sadly leaving the conned... well, conned.
It's false, and I wouldn't fall for it if I were you.