Google has confirmed that it will push software update build N2G47W for Google Nexus 6P smartphones on June 6th. The upcoming update for Nexus 6p will include Android June security patch update.
Android June security patch will include fixes for vulnerabilities and exposures in the Android OS. The update should also optimize device performance and fix regular bugs.
Software update N2G47W for Google Nexus 6P will roll out as OTA update. In case you miss the notification, you can check for it manually by heading to Settings > About device > System updates.