For this recipe, make sure to use unsprayed or organic grapefruits, since you'll be eating the skin. The technique and syrup proportions vary from my recipe for Candied Orange Peel in
Ready for Dessert; since oranges don't need to be blanched a few times, and they have thinner skin, they are cooked differently.
Note that this recipe uses light corn syrup, not high-fructose corn syrup. You can get natural corn syrup at Whole Foods and similar stores. The small amount helps ensure the peels stay supple after candying and resist crystallization, but you can leave it out if you want. For more info, check out my post:
When to use (and not use) corn syrup, for substitutions and more info.
Storage: Candied peels are best the first week or two after they are made, stored at room temperature in an airtight container. They can be stored three to six months in the refrigerator, although they may get dried out if kept longer. If they do, you can chop the peel and soak it in hot water or orange liqueur, until soft, and use the pieces fruit crisps or whatever baking projects call for chopped candied peel.