He's looking for a tree? I thought he was looking for a three-eyed crow.
The trees with faces on them are all over the place. They're remnants of the old religion of Westeros predating whatever the current one is called. Which of course predates the inevitable forcible conversion of everyone on the continent to the Lord of Light by Stannis the Mannis.
Anyway. The tree they're seeking--apparently where the three-eyed raven lives? I dunno, it's a little vague--is not the same as the one Jon takes his vows at.
Thanks for the answers. The crow may or may not be at this tree, but Cyan is right about how many there could be. Lord Commander tells Jon that he can find "a" tree, not "the" tree. The one Bran sees in his dreams is also in a clearing, almost as if on a podium of rocks. Jon's tree is surrounded by woods.