LOL Can't call it a CGM as it's not, FGM has an other meaning entirely so 'thingy' is about right!
Hi Jill sounds like an early Dawn Phenomenon (DP), fortunately I don't suffer from it so haven't had to deal with it however there's plenty who have, and is a well known driver for moving to a pump - assuming you're not already using one in which case you need to tweak your basal rates - others live with it and jab a correction to keep their BG as stable as possible although it does mean setting the alarm clock early to do so. Changing basals might help.
DP is the bodies natural way of getting you ready for the start of the day by the liver releasing glucose to give you energy to go out hunting for breakfast.
I'll also add 7-9 isn't so bad, but it does ruin your mainly 4-5.5 figures!