A new refrigerator, or any refrigerator for that matter, should turn off and on itself based on its cooling needs. The cooling cycle of a refrigerator is controlled by a thermostat, which senses the internal temperature. When the temperature inside the refrigerator rises above a certain set point, the compressor is activated to cool the interior. Once the desired temperature is reached, the compressor shuts off until the temperature rises again.
The frequency and duration of the on-off cycles can vary depending on factors such as the ambient temperature, how often the refrigerator is opened and closed, and the refrigerator's energy efficiency. Generally, modern refrigerators are designed to be energy-efficient and will have relatively short cooling cycles. They should not cycle on and off too frequently.
If you notice that your new refrigerator is cycling on and off very frequently, running for extended periods, or not maintaining a consistent temperature, it might be a sign of an issue that requires attention. In such cases, it's best to consult the refrigerator's user manual or contact the manufacturer or a qualified technician for assistance and potential troubleshooting.