Yes, you are right. The bias is the voltage difference between the left and right electrodes, while a metallic spatial region can be used to define a metallic gate somewhere in your device. A constant electrostatic potential can then be specified for that gate. If you have more than one gate, for example gates above and below your device, you can tune the gate voltage (voltage difference between the two gates) and investigate how the current through the device depends on the gate voltage at constant bias.