ANSWER: No. DupeBlocker does not have an option to email the tasks to the "Assigned to" user. A custom trigger could be created, if desired, on the task object to generate the email. The trigger would need to check for the creation of tasks where the subject starts with "Potential duplicate".
DupeBlocker 3 also has an option to call in custom APEX code when a duplicate is detected. Custom code could be created to send an email to the user that created the duplicate or to the matching record owners that a duplicate was created. This would be in place of a Warning and Warning Task, as the matching action would not be Report Duplicate but rather "Custom APEX Code". This option is designed for advanced users with experience creating custom APEX code.