how do I make sure that the email notifications are going to the right place?

Well you can test your autoresponder emails by entering your email address on a form and submitting it. You should receive an autoresponder saying "we have received your submission" in the title.

Then to test the notifications you need to specify a recipient address and submit the form. Then you should receive a notification email.

How to Properly Add, Change, and Test a New Email Recipient Address