In best cases you get permanent hurricane (Venus)
Also, give all that was said, probably no life there at all. Our Moon may have been instrumental in generating life. Tides and rotation meant constant motion of water on shores, combined with day/night heat/cold wet/dry. Every grain of sand on every beach was a different biochemical petri dish for billions of years, resulting ultimately in the cell.
A tide-locked no-day-night planet would likely be sterile.
We haven't been able to observe nearly enough tidally-locked planets to make general rules about them.
Such new types of planets are likely to exhibit all sorts of phenomena that act as counterexamples to the patterns seen in our own solar system.
You missed the part where the glaciers on the night side get big enough to flow despite being frozen.
It didn't take billions of years for life to appear on Earth.
But right after the formation, the surface was still molten lava, and there was heavy meteorite bombardment [1]. So from the time the planet had cooled down, and the solar system had calmed down, to the beginning of life (which could have happened earlier than there are fossils left) could have been anything from mere 100 million years to over 600 million years, for all we know.