No. Amazon will charge you separately, on your Amazon account according to the SES and SNS pricing structure.

For example:

Using our "Forever Free" plan, If you send 62k emails a month, it will cost you $0 on your Amazon SES account and $0 on MailBluster. A net $0/month*. (Assuming you are not sending other emails using the same Amazon account)

Using our "Unlimited Sending" plan, If you send 100k emails a month, it will cost you $3.8 on your Amazon SES account and $10 on MailBluster. A net $13.8* (Amazon will charge you $0 for the first 62k emails you send a month and $0.1 per 1,000 emails you send after that)

* A super tiny cost might inure if you cross the Amazon SNS free limit, which is explained in the next question.