If you're talking about the Academy on Korriban, then you gain a little prestige. Then, when you gain all necessary prestige, you go to Naga Sadow's tomb--at the end thereof, after you get the Sith Lightsaber, you can either a) fight Uthar with Yuthura, and then kill Yuthura/spare her later; b) fight Yuthura with Uthar, and then kill Uthar/spare him later; c) fight both of them at once (not recommended unless you have mass killing moves such as Force Storm, Death Field, Stasis Field, etc.). I would advise both putting poison in Yuthura's bath (telling Uthar at the beginning, you gain prestige and a datapad to take to a guy to put poison in her bath), and putting the strange device under Uthar's bed (telling Yuthura that Uthar is plotting something against her). These will drain your opponents' strengths when you fight them.
General, if you're not using it, could I have the army for a few days?