Sure, Gobekli Tepe is not on the same scale as Egypt or Mesopotamia, but it does redefine things in that it shows that complex building of large structures was done much earlier than previously thought. The researchers excavating the site even think it could predate the advent of agriculture.
However, I also write about the Cucuteni-Trypilia culture, which is where you could apply the label "civilization" as you say. This was a complex network of settlements, some of them could be even labeled cities, since they had around 15 thousand people. They constructed large temples, had complex agricultural practices, and even started to develop what looks like proto-writing. This a bit earlier than in other places.