You got her at Petco? It's not often that you find adults there, especially not females!

Your temps are fine and I would not add any heat unless it gets below 65 at night. In that case you will need to move the light off of the top of the cage as it will get too hot on the glass. You don't want it to get above about 80 degrees in the cage.

Humidity should be around 60%. Once your substrate dries out your humidity will come down some to a better level.

If she cannot climb the glass she is likely either approaching shed or she has been kept in too dry of conditions. Keeping her at the appropriate humidity levels will help to correct this problem. They do also have trouble climbing the glass sometimes when it is wet after you mist the tank.

The 10 gallon turned that way is fine for a single adult. Add some vines like you plan to and you're good to go.

You can go ahead and start offering her CGD now, but don't panic if she doesn't eat right away. Sometimes they need up to a week or so to settle in before they start eating. I don't feed insects for the first 3-5 days or so while they settle in. I feed on a schedule similar to this:

Day one: CGD
Day two: leftover CGD
Day three: no food
Day four: dusted crickets or other insects
Day five: no food
Day six: CGD
Day seven: leftover CGD
Day eight: no food
Day nine: dusted crickets or other insects
Day ten: no food

You can skip any of the insect feedings and feed CGD instead--I usually feed insects once per week or so. It's not a set thing--if they eat all of their CGD the first day then day two is the no food day, not the leftover CGD day. If I feel like making a fresh fruit mash they might get that instead of insects and some weeks I don't feed insects at all. Figure out what works for you and your gecko and go with it.