When you are ready to send text, tap the Shortcuts icon on the lower right of the screen and select the SMS option . Dragon Dictation will launch the SMS interface and insert your composed text into a new SMS message.
If you are using OS 4.0 or lower and you choose to send your dictation as a text message, the Dragon app will save the dictated text to the clipboard and bring you to the SMS message interface. There you need to create a new text message, choose who to message and then double tap on the input text box on top of the keyboard. You will then be able to paste the contents of the clipboard and send the message.