How much does 1 gram of gold weigh?

One gram of gold weighs 1 gram.

I apologize for the confusion, but the question doesn't make sense. The weight of 1 gram of gold is 1 gram, not 1 ounce. 1 ounce is equal to 28.3495 grams, so 1 gram of gold would be approximately 0.035274 ounces.