It will depend, to a degree, on when he gets them and where he's at emotionally at the time. Naruto's said that he has bad memories, so he half expects to start getting things worse than he has so far. He also knows something was going down with his father, so neither the seal nor the death memories would necessarily surprise him. He might withdraw some, and get more serious. Which is clearly totally what he needs, right? But for the most part, the changes won't be too noticeable. When he remembers what's up with the seal, he'll probably start covering it—either questing for a headband, or his forehead protector, or possibly just ninjaing some bandages. I think he'd be less comfortable with having it on display all the time.

If he remembers almost killing Hinata, he might get a little more identity angst, and start focusing on some of the dissonance between his earlier memories and his later memories.

Memories you're looking forward to?