Try from Azure portal :
1- Go to your Virtual Machine
2-Left side choose Alerts under "Monitoring Section"
3- Click on "+" New Alert Rule
4-Click on Add condition
5- Select signal type and filter to "Activity log "
6- Choose "create or update the virtual machine"
7- Click done
8- Click on Add action group, and configure an email notification type
9- fill alert rule name and click create
10 -go back to 3 and configure activity log signals (like OS update)
Hope it helps...