Normally, I'd suggest tracing the wires back from the brake switch to the closest join, unplugging both wires and testing for continuity with a multimeter. It sounds like you're having trouble with the first step though and I don't have my bike in front of me to provide more detail, so try this instead:
Take a couple of normal pins, gently poke them through the insulation so they make contact with the wire core of each of the two wires just behind the front brake switch. Use these as terminals to check continuity across the switch with a multimeter (or test lamp). You should have continuity when you pull the lever in.