Hi,
I did not try this but you can do the following -
1. Create a event which has a "Text File Reading and Monitoring job". Look for text "Running as ***" in <server>\logs\tracelog.txt. The message comes up when server starts up.
2. Once this job completes , create an Alert to re-trigger the same event.
3. It will keep monitoring.
Hope it helps!
Thanks and regards,
Ravi Kiran