Is the 1000 dollar bill real?

Yes. The US printed $1000 bills from the Civil War up to 1945, although the last ones were printed under the 1934 series date.

Distribution of all bills larger than $100 was halted in 1969 in an effort to combat organized crime. The bills have never been officially withdrawn and are still legal tender, but after 40+ years they're essentially out of circulation. In any case it wouldn't make much sense to spend one at face value because it would be worth more than $1000 to a collector.

There's a picture at the related link. It shows a 1928-series bill which has the same design as the 1934-series bills.

yes, here is an actual picture.

never mind, this site does not show the picture, but if you google image search "$1000 dollar bill" you will see an actual picture.

Well, Technically they do exist. Or did. They aren't arnt made anymore.