in that instance i can't see it doing that via the internet.
Unless you have a magic Google Home with all the tech inside it to decipher your voice, then it goes over the internet like every other Google Home/Amazon Alexa voice command.
These devices are glorified speakers/microphones and all the analysing/processing of speech is done on Google/Amazon's servers.
Try it connected to your network without an internet connection and see how far you get.
The Phillips Hue kit itself works over LAN, but you need to use the app for that.
Google Home and Amazon Alexa won't work without an active internet connection.
Path is something like Google Home > Router > Google servers > Router > Hue Bridge > Hue lights.