The care sheet can be found here: http://www.frogforum.net/content/gray-tree-frog-care-breeding-120/

I
myself would return the frog to the place it was found. Stress is a big enemy of your frog since it opens them up to so many health issues. Not having a high and hidden or secure feeling and the new unusual sounds and sights will all have an effect on him.


If you decide its not going back to the wild, you will basically need a 20 gallon tank to start. The higher the better since they do live in trees. A few plants such as snake plant, a bromeliad, pothos, or creaping fig will work fine for him. NO fertilizers can go in so they have to be washed off and the fertilized soil removed and roots cleaned before putting in the tank.
The live plants help with keeping the humidity up since you are going to have to keep the tank at 60 percent humidity all the time.
Misting twice a day will help with this.

The tank needs to be where its quiet and dark at night. The substrate needs to be something safe as in digestible or not able to fit in the frogs mouth. Plantation soil or eco earth from a pet store would be my choice. Leafs can be boiled (Magnolia, Live Oak) and used also.
Your biggest issue is going to be feeding. Since he is small, fruit flies can be obtained from a local petco. If you purchase crickets they need to be smaller then the the width between the frogs eyes.
You must monitor his intake of food to determine he is eating. Feed in the evening.
If you feed crickets, a small bowl sunk into the dirt will allow you to put in crickets monitor what he eats. The crickets will also need to be dusted with calcium.


A lot to learn so I would read the care sheet above, look at some members photo albums for tank ideas, and ask questions as you think of them.