Rudy, today "Les Paul" is a style of guitar made by Gibson. Kind of like say a car, where say Gibson = Ford and "Les Paul" = Mustang. You can get a Mustang GT, Mustang LS, whatever they are. Originally the guitar that bears the name "Les Paul" was made by the man Les Paul, in collaboration with the Gibson company.
Also, with regard to making a "Les Paul" in your garage, since the guitar is such a famous design, even other guitars that look similar are said to be a "Les Paul" style. So you can make a "Les Paul" style guitar in your garage, it's just not a true Les Paul guitar from Gibson (however it might be even higher quality and/or use some of the same parts).
[This message has been edited by Echoes97 (edited 10/7/2010 3:53p).]