BlackBerry Priv on Verizon network gets the march Android security patch. The update comes with the software build number AAJ926.
The update is only includes March’s Security Patch which optimize your device performance and resolve known issues. Before you hit the download button Connect your device to a Wi-Fi network, or make sure it has a strong Verizon Wireless network connection. Ensure your battery is fully charged before starting the software update.
The software update is rolled as OTA so it might take some time to reach each and every user. It you did not get the update notification, check it manually by going to Settings > About device > System updates. Or you just wait for couple of days.