Your Just Press Record recordings will not automatically be visible to iTunes File Sharing on Mac or PC when you plug your device into your computer. However, individual audio files can be shared so they do become accessible to iTunes File Sharing.
Select the recording you wish to transfer and press the 'Share' button on the grey toolbar Unser the recording. Now tap 'Share Audio' to display the standard iOS 'Share Sheet'. Select the ‘iTunes File Sharing’ option. The selected file should now be available to transfer to your Mac or PC the next time you plug your device into your computer.