The French social theorist Jean Baudrillard is responsible for theorizing the
concept of the hyperreal, most notably in his book Simulacra and
Silmulation. If you saw the first Matrix movie, you may have noticed that
there is a fake book with this title which turns out to be a container for
Hyperreal.org actually took it's name from an old Shamen song from the late
80's or early 90's. Now the Shamen most likely took it from Baudillard, but
Brian Behlendorf, the guy who started hyperreal named it from their song.
As for origins of Hyperreal.org, there's 2 great texts on their site