spoiler free!
I have not played through it, I have watched PewDiePie play it. I think aesthetically it scores very highly, gameplay wise, there are perk trees, many weapons and tools, I thought that was cool. The story is good however I believe that they could have formulated the timeline a little better, the way it is structured story-wise can feel demotivating and doesn't give the player a true purpose at times... I have not seen or played the first game, so please take that into account, although, I am a seasoned gamer and trust my ability to tell if games have good GAMEPLAY or not
In short, Story could have been a little better and character development of new characters is okay, not great. For a lot of the characters you come across, as the player you feel a lot of distance, the dialogue has it's moments but often leaves a lot of empty space and I am 100% sure that Naughty Dog could have tried harder to make the script that extra bit better.
I would play this game in a couple years once I have completely forgotten the story after watching PewDiePie play it, it looks like good fun.