Yes, exactly, it should work. You have to be aware that different products (from different manufacturers) are linked here. This usually works quite well, but there is not really a guarantee. Besides: If you don't have Philips HUE yet, there are cheaper variants - because Philips uses its own hub. You can only integrate other products with software (e.g. TP-Link).
At the moment, you can switch Philips Hue lamps on/off and change the brightness and colours with Goole Home. The lamps must be assigned to predefined rooms (hallway, living room, bedroom, etc.) using the Google Home app. More information about the commands at https://support.google.com/googlehome...