Most people have had some sort of gummy candy in their lives. The first big gummy hit was the classic gummy bear, first invented by a German man named Hans Riegel, soon after founding Haribo. Hans called them Tanzbrs, meaning dancing bear. Another name for these were Gummibr, which means rubber bear, which is why we call them gummy bears.
These sugary treats were almost discontinued during WWII as ingrediants had been rationed and Hans Riegel died. His wife did her best to keep the company going, however, and when his two sons returned from being prisoners of war, they helped as well.
Eventually these bears made their way to America. They were imported for many years, but demand eventually grew enough for American-made gummy bears to hit the market. This wasn't until 1981, though.
The same year gummy worms were introduced by Trolli. These became some of the most popular gummy candies ever made, and were originally made with the idea of creating a candy for children that would slightly mortify parents.

