What you are missing is a light socket pigtail. Less than $5 at most FLAPS. Your socket looks like the pins slots are even. Which would translate to a single filament 1156 bulb. I have cheated in the past by sanding one of the pins off of an 1157 bulb, and using a double filament repair pigtail.

These repair pigtails slide in from the bulb side.
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pigtail2.jpg (16.25 KB, 52 downloads)