With the exception of air-cooled cars (old style VW Beetle for example), cars are heated by the hot water running through the car’s cooling system. The hot water is piped into a heater core–essentially another radiator inside the car, and air is blown through and comes out hot.
Hybrids work the same way. The gasoline engine has to warm up a bit to get the heater to work.
The only experience I had with a hybrid was that in cold weather, when you turned the heater on, the gasoline engine kicked in until there was hot water to produce heat.
As someone posted above, there may be an electric heater to supplement the regular heating system, which would be especially helpful for defrosting or de-icing the windshield. But that has been a feature in some cars for decades too.