You can see the instructions for this connection using this instruction link
The Google Home Mini and Philips Hue White and Color Ambiance Bulb GU10 can communicate with each other using a bridge. This bridge is necessary because there is no shared connection between the two devices.
With the Philips Hue Smart Hub, The Philips Hue White and Color Ambiance Bulb GU10's Wi-Fi can connect to the bridge, and the bridge can connect to the Zigbee connection of the Philips Hue White and Color Ambiance Bulb GU10. The Philips Hue Smart Hub also has Google Assistant compatibility, ensuring the connection can be made.
Another compatiblity is to use the connections between the third party Samsung SmartThings Hub 3rd Generation with the Philips Hue White and Color Ambiance Bulb GU10. This method can use the bridge to connect to the Zigbee connection of the Philips Hue White and Color Ambiance Bulb GU10. The Samsung SmartThings Hub 3rd Generation also has Google Assistant compatibility, allowing all of the devices to communicate to each other.
Interface Compatibility
 Google Home Mini |
 Philips Hue Smart Hub * Bridge required |
 Philips Hue White and Color Ambiance Bulb GU10 |
|
|---|---|---|---|
| Amazon Alexa | No | Yes | Yes |
| Apple HomeKit | No | Yes | Yes |
| Google Assistant | Yes | Yes | Yes |
Connection Compatibility
|
Google Home Mini |
Philips Hue Smart Hub * Bridge required |
Philips Hue White and Color Ambiance Bulb GU10 |
|
|---|---|---|---|
| Amazon Sidewalk | No | No | No |
| Bluetooth | Yes | No | No |
| Clear Connect | No | No | No |
| Thread | No | No | No |
| Wi-Fi | Yes | Yes | No |
| Z-Wave | No | No | No |
| Zigbee | No | Yes | Yes |