My all natural peanut butter has
>one gram of sugar per serving. Would that be considered
>refined or natural sugar?
If there is no sugar added (there's actually a "natural" p.b. that has sugar and palm oil added to it!), then it's natural sugar. (If you have the "Natural" p.b. that has the added fat and sugar, I suggest switching to REAL natural pb: just peanuts and salt).
"Refined sugar" is anything like white sugar, sucrose, dextrose, high-fructose corn syrup/sweetener (which should be avoided at all costs, IMO), any ADDED sugars.
Natural sugars occur naturally in fruits, vegetables (to some degree), and natural foods that aren't processed, including peanuts.