You can use rules for your submit to both submit to a data connection and fire off an email. A few things to keep in mind:
1) the email will still require the user to click the send when the email envelope pops up. you can't get around that for the most part because Office is very sensitive about opening potential email virus vectors.
2) because of #1 you should put the email submit action after the submit to your data connection action. that way you know the submit is successful before sending the email.
Shiraz Cupala / Microsoft InfoPath MVPQdabra® Software / Streamline data gathering to turn process into knowledge