If they don't trade the pick, my first option would be drafting Mirotic. He's got ice in his veins, and is still developing his game around the basket. If not, Bertans would be nice. Both kids will stay in Europe for 2-3 years, so they won't affect the cap, and they could be potential All-Stars.
If they choose players to sign this summer, I'd like Jeremy Tyler, Vucevic, JaJuan Johnson and Kyle Singler. If Gordon Hayward can play, Singler who almost shut him down in the Championship game and has always given Coach K what the team needed, could be a nice role player. At #25 you can't ask for much more.
Maybe Tyler, Johnson, and Butler will be available in the 2nd round, and probably Keith Benson will be, too.
Last year's draft was a bit of a disapointment, so I don't know what to expect.