This modification will take only moments to do, requires no electrical-wiring skills, and can double the light output of a given lamp socket. Best of all, the component needed is quite inexpensive and readily available.
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Remove the harp finial, shade, and light bulb from the lamp. Set them aside. The lamp socket is now empty.
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Install the two-lamp socket adapter in the lamp socket. Screw it in exactly as you would a light bulb.
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Reinstall the light bulb you removed earlier, and add a second bulb to the second socket.
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Reattach the shade and harp finial to the lamp. You now have twice the number of bulbs being powered by the single socket in the lamp.