The headlights have a curcuit breaker made into the headlight switch, instead of a fuse..so they will blink on and off if a short occoured,and wouldn't leave you "in the dark" literrally,if something went wrong with the wiring!..
I assume you tried testing the bulbs,to make sure they still work!..often the plugs corrode where they snap onto the prongs in the plug..I have to get out and wiggle the wires on my trucks once in a while to get one headlight to come on,because my trucks rarely get driven at night much..things turn green here overnight in our acid rain and salt laden climate..
Its probably the dimmer switch though,if its the floor mounted version..just about every GM truck I bought that sat any length of time had its dimmer switch and plug,and its wiring going to it all corroded to death..you can buy new plugs and a switch at most parts stores..
If you have the colum mounted dimmer switch,I haven't fooled with that style much..someone else will have to help you there!..