A heatpump to heat the home (which is commonly referred to as a heatpump) and a heatpump to cool the home (which is commonly referred to as airconditioning) are effectively the same thing but run in reverse.

All a heatpump does is move heat from one place to another. For heating you move heat from the outside to the inside, and for cooling you move it in reverse.

Airconditioners (which are just heatpumps) often have a valve which allow you to reverse the flow. That is why most air conditioners can be used for both heating and cooling without the need for any significant amount of extra hardware.

As a bonus, because a heatpump moves heat rather than generating heat, they heat the home by 4-6 kWh of heat energy for 1 kWh of electricity they consume. (This ratio is the referred to as the COP-value, and you can look it up for all ACs. They usually list separate COP values for heating and cooling)

This makes them significantly cheaper to run than gas boilers, even if gas is significantly cheaper per kWh than electricity is.