19 of the 25 grams of sugars listed are listed as "added sugars", which basically means they're adding processed sugar during manufacture.
Sorry, it was 25 grams total carbs. I should have stated that 100% of the sugars listed are added sugars, which means "processed", not "natural".
Unless they have very different labels than are normal, no. The sugars listed under “carbohydrates” are refined, or naturally occurring, but makes no distinction between the two. The labels I have seen for these jelly beans lists “sugars”, but similarly makes no distinction between refined, and naturally occurring. My bag of brussel sprouts has “sugars” listed. However, it does not mean that they are “adding processed sugar during manufacture.” Similarly, a frozen dinner I have in my freezer lists “sugars”, but makes no distinction between naturally occurring sugars, and refined sugars.
The bottom line is that the “sugars” entry in the nutritional label is only valuable if you are concerned about sugars in general. If, like most people, you are only concerned with added refined sugar, but are not limiting naturally occurring sugars, it tells you nothing.