This is a “Modlet Bean” that would be used to meter plug-in appliances and devices, such as a television or refrigerator.
This is what the temperature transmitter looks like. The gray wire is a temperature probe, that would be used to gauge temperatures in a gas appliance (such as a gas water heater).
This is what the box looks like. The box will be located near your electric service panel (typically in a garage or basement area).