A few people have requested this feature, and we have supported it in the recent version of DriveHQ Online Backup 3.8. Please upgrade to the latest version if you have not done so. Otherwise, the feature is available at:
Logon DriveHQ Online Backup 3.8, click on Options, then click on Error Log, check the two checkboxes as you like: Send backup status report: when an error happens; after a task finishes.