I posted earlier about a light hive, and the suggestions were to start feeding.
I want to keep track of how much syrup the bees store, does 1 pound of sugar = 1 pound of sugar honey?
I don't know that I understand your question. . .If you mix a 1:1 syrup, that would be 1 pint sugar by volume with 1 pint water (by volume). It would actually weigh more than 2 pounds as the sugar is denser than water and if the bees were to not consume any (which is a big question mark), but were to directly store it and condense it into the same as honey it would be roughly 85% sugar and 15% water or 1 pound sugar and a few ounces of water. I don't know if there's a direct way you can tell how much is stored per how much you feed.
The big question really is how much are they consuming vs how much are they condensing and storing? And that depends on the natural nectar available. If there is a dearth of nectar and the hive has a big population, they would be probably eating and consuming most all you feed them and not storing much.
The only real way to be sure is to keep track of the weight of the supers.
The bees still have to dry it out to make it 'sugar syrup honey'. I really am terrible at this but if you use 1:1 sugar:water then I would think it to be (approximately) 50% moisture to 50% dry and they would have to reduce the moisture content to 18% or less. How that reduces down in weight I'm not sure, since nectar is a lot thinner than syrup (the mind is more swiss cheese these days). I guess a rule of thumb I might use would be maybe reduce the fed weight by 33 to 35%. I may be totally out to lunch on this but I would be happy to have a formula or rule of thumb I can use also.
Is this what you are looking for? I am not the best about feeding except to try and stimulate brood rearing or if I think I may have taken too much honey off for harvest.