Since you mention a two year scholarship, I'm guessing that you are referring to an AROTC scholarship for the advanced course (junior and senior years).
If that's the case, then you would most likely get a waiverable DQ. Assuming everything heals, the waiver would probably be granted no earlier than six months after the operation. I'm not an authority, and I hate to bear bad news, but the way I read it, it's possible you may not be able to contract during the fall term. The timing is tricky since six months from your procedure would end during most schools' fall final exams. Again, assuming everything is okay, including other components of the DODMERB physicals, the waiver would probably be a formality, but approvals would have to be in place.
Here's a quote from Army Reg. 40-501 Standards of Medical Fitness:
(2) History of refractive surgery including, but not limited to: Lamellar (P11.7) and/or penetrating keratoplasty (P11.
6). Radial Keratotomy and Astigmatic Keratotomy does not meet the standard. Refractive surgery performed with an
Excimer Laser, including but not limited to, Photorefractive Keratectomy (commonly known as PRK), Laser Epithelial
Keratomileusis (commonly known as LASEK), and Laser-Assisted in situ Keratomileusis (commonly known as
LASIK) (P11.7) does not meet the standard if any of the following conditions are met:
(a) Pre-surgical refractive error in either eye exceeds + 8.00 to - 8.00 diopters.
(b) At least 6 months recovery period has not occurred between last refractive surgery or augmenting procedure and
accession medical examination.