The LM393 is a comparator. My guess is that the temperature sensor is a thermistor, and the output of the module is high or low depending on whether the temperature is above or below a target temperature, which you can select by adjusting the potentiometer on the board. So you can try connecting the power (+?) and ground (G?) pins of the module to Arduino +5V and ground respectively, and the output (D0?) to a digital input pin. The A0 pin is possibly an analogue output that you could connect to an analogue input pin to get a reading of temperature rather than just an above/below status.