What is the primary energy source for sprouting plants?
This depends largely on the plant, some seed stores can last a very long time, but a few general trends can be discussed. 

sprouting plants run off stored carbohydrates in the seed, they are using respiration, photosynthesis begins as soon as they are able and they will switch over to it as quickly as possible it is however gradual as the plant never stops using respiration it just starts using photosynthetically produced sugars instead of stored ones. The stored energy will run out so the faster a plant can stop relying on it the better, so even a small production is helpful, you yest it is a gradual process, even if it is a fast gradual process ins some plants.