There are about 200 billion stars in our galaxy alone, and as many 100 billion galaxies in the observable universe. There are many more planets in the universe than there are grains of sand on every beach on Earth, and yet our rock is the only one to have developed sapient life?

If we could visit every planet in the universe I'm certain we'd find that we're just not that special. And hasn't that been the trend anyway? Every time humanity has thought itself special, such as for example putting Earth at the center of the universe or believing that we're separate from the animal kingdom, we've later discovered that we're not.
I don't think the issue is that life is ultra special, but just that it is hard to keep alive long enough to become space faring.
Even then, it likely isn't unique, but it could be rare enough that the distance between us and another sentient lifeform would be so far to travel that, even given light speed or FTL travel, it would be impractical to see each other.
If there isn't sentient life in the closest 1000 stars, it won't matter if there are trillions upon trillions of stars in hundreds of millions of galaxies - we still won't be likely to meet them, unless there are HUGE loopholes to that whole "can't go faster than the speed of light" thing that Einstein tossed out there.