If you're making cooked sugar candies, like fudge, adding a little glucose will help keep it from crystallizing prematurely.
Most corn grown in the USA is GMO, so most corn syrup will be, too. You can buy non-GMO corn syrup online, but I've not looked for it in stores, so I don't know how easy it is to find.
However, there is no genetic material present in corn syrup, so it is not possible to tell by testing it whether it came from GMO corn or not.
Commercial glucose can be made from other starches, such as potatoes, wheat, barley, rice, or cassava.