Personal Results is a setting on the Google Home app that allows Google to provide personalized information to you on your device. Google requires Personal Results be turned on for Google Home devices when accessing personal information like shopping lists, calendars, flights information, or connecting your account to applications like Headspace.
To turn on Personal Results, install the Google Home app on your phone and use it on the same WiFi as your Google Home device. For more information and instructions, click this link.
You don’t need to turn on Personal Results to connect your Google account to your Headspace account when you use the Google Assistant app on your smartphone.