Most likely, the finding will be that we have found something like a lighthouse beacon. The distance to the source is likely to be so great that conversations will be impossible. The signal we receive would already be 50 years old. Project Phoenix will only cover a comparatively small portion of our galaxy. Our galaxy is only one of hundreds of billions of galaxies.
Galaxies contain tens to hundreds of billions of stars.
Project scientists might find signs of intelligent life, they might find interesting new natural objects, or they might find nothing at all. There might be life elsewhere in the Universe, or we might be completely alone. We will never know unless we take a look. It is a search for a golden needle in a cosmic haystack. There is no assurance that Project Phoenix will find evidence of extraterrestrial intelligence, but the search itself is certainly thought provoking.