That would be the glock 18, and it's a select fire weapon (shoots either semi or full auto with just a flip of the slide mounted lever). Yes, unfortunately it is only available to law enforcement personnel. Some companies sell conversion kits which can make any glock select fire, but again, only obtainable if you're a LEO.
Actually, there were no G18's available or mfg'd prior to the '86 MG ban.
Any/all Glock 18's that exist today were mfg'd after the 86 ban, and can only be owned by law enforcement, military or class3 dealers. They are called "post samples" and can never be owned by a private civilian.
Any class 3 firearm that can be "civilian owned" via tax stamp / BATF transfer, MUST have been Mfg'd and registered prior to May of 1986.
Anything Mfg'd after May of 1986 is considered a dealer sample and can't be transferred into civilian hands.
The G18 is a full-auto version of the fullsize G17... both are 9mm.
The G19 is a midsize/compact 9mm.
The G26 is the subcompact/smallest 9mm Glock makes.