Please see knowledge base about logs and how to send it via email.

If you want automated, please consider a SIEM.

establish an SOC for centralized monitoring of events

The actual reading can be seen in the management portal's dashboard, but the specific alarm and email notification for the ping error is not possible.

You can use SIEM or check the dashboard manually.

It is impractical to monitor and keep track of multiple firewalls if they are forwarding logs to the logging service based on their visibility or lack thereof on Logs and then verify the forwarding status on the firewalls using the show logging-status command.

I think your are refering to a SOC