Michael,
I would do the following:
1) Create a new custom event. Make sure to set the notificatin template as "Issue Created" More information here https://confluence.atlassian.com/adminjiraserver/adding-a-custom-event-938847495.html
2) Create a new workflow for the "Bug" issue type within the project in question
3) On the "Create Issue" transition, change the "Fire Issue Created Event" post function to the new event that you have created.
4) Create a new workflow scheme, or modify your existing one to tie the new workflow to the Bug issue type. Make sure your project is using the correct workflow scheme.
5) Create a new copy of your project notification scheme.
6) Modify the copy to send a notification for the custom event created in step 1 to the user that wants to be notified
7) Set the notification scheme for your project to the one you just created.
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