Green plants appear green because the pigments present in them reflect green light. For this reason, they cannot perform photosynthesis under green light.
Carotenoids present in green leaves can absorb the upper frequency band of the visible light spectrum i.e. violets, blue, dark green frequencies. Since leaves also contain carotenoids, plants will be able to perform photosynthesis but only to a small extent.
Stored energy wouldn’t be used for photosynthesis, or at least the light reactions – note the light reactions are the ones that use light energy to generate ATP and NADPH. The dark reactions use these molecules to generate oxygen and sugars. Stored energy would most likely undergo respiration to generate energy from pre-existing sugars.