Unfortunately, most things in GC only sync one way, so you will have to do this manually and you will need a computer. If the Edge 1000 is anything like current-gen Garmin watches, this should work:
1) Open Garmin Connect in a web browser
2) Navigate to the activity
3) Click Gear > Export (original)
This will save a FIT file to your computer
4) Connect your Edge to your computer with the USB cable
5) Copy the FIT file from step 3 to \GARMIN\ACTIVITIES
