They way I see it, Kawhi could already operate the pick and roll and slash. He uses his body and strength well (like Joe Johnson) to create space. He just didn't have many opportunities, because he almost always had only one other 3 point shooter on the floor. Thus he shot a lot of twos. He's good to great at them so it didn't hurt him as much, but relying on your jump shot is not conducive to consistent offensive output. With LMA on the court, Kawhi should have much more space to operate and show his driving ability.
To improve though, he needs to work on his confidence in his dribble so he's not constantly picking it up early. If he wasn't playing with a team of High IQ players that know how and when to move to bail him out, he would get a lot of turnovers for this. Of course, adding more dribble moves to his arsenal with help with this problem along with making him better in the Pick and roll.
Leonard also needs to make more accurate passes in general. He has good instincts, but he puts passes behind and too low for his teammates to catch cleanly too often.
Lastly, Kawhi must move from and "outside-in" to an "inside-out" scoring mentality. As I said, he shot too many twos. You don't draw fouls and create offence for your teammates playing like Melo (relying on triple threat face up twos to open up your driving). I didn't really have as much problem with this last year because there was no spacing. But he can be so much more than just an inconstant Iso scorer. Once he moves from and "outside-in" to an "inside-out" scoring mentality and improves the two things I mentioned, he'll put himself in the second tier of offensive players (under Lebron, KD, Curry, Chris Paul, Blake Griffin, and Harden).
I'm not sure if Leonard can get better at defense than he was toward the end of last season, but if he can do that all year, he might be the favorite for DPOY.