Room temperature is just fine for a Grey Tree Frog, so no they do not require a heat lamp. However, my two Grey Trees are kept in my room which is in the basement and it stays about 68*F or so, which I think, is a bit cool. I keep a heat lamp on them about 12 hours a day with a 60 watt lightbulb and they seem to sleep during the day under the heat lamp in the fake foliage I have. So, basically it's up to you whether or not you want to provide one for Freddy or not.