It says in the description that it will allow you mail recordings under 5MB. Just look for a square icon with a curved arrow though it. Looking at the screen shot in the app store it's on the lower left.
For larger files it says you can sync them with the computer. This probably means through iTunes.
Just connect your iPad to iTunes, select it when it shows up in the left column, and go to the Application tab. At the bottom of the page you will see a list of applications. Look for the QuickVoice app and select it. Any files available for syncing should show up in the list view to the right.
You can drag and drop the files you want or use the buttons provided.
This is all speculation for the most part, since I do not have the app. But it is how most common method of copying files between the iPad and computer.
Don't forget to check out the developer's web site. They often have FAQs, user manuals, and other helpful information. The link is on the apps page in iTunes.