I'd totally want to find out if they really have proof of extraterrestrial life, like the infamous starship wreck in Area51, or even aliens held hostages (I wouldn't put it past them). Or any kind of record of some kind of contact. Because I know there's something out there and I'm really hoping the secret services aren't pissing them off.
Also, I'd totally check out if the moon landing was the real thing or what. I'd search many more things, but a minute is a short time. XD
JM