Upon graduation, a student will need to go to graduate school to complete their JD. Consider the Legal Studies major to be a pre-law track like many other undergraduate schools. The exception being that you would graduate with a Bachelors of Science because of the core curriculum. This degree path would generally be an arts degree at other schools similar to Government or English or History - but SA graduates get a BS.
Graduate school options directly out of the Academy do exist, but they are generally limited in numbers and would be available to the upper part of the graduating class. There are multiple ways Active Duty members can attend graduate school ranging from full time active duty branch sponsored (paid) graduate student, to a break in service to go get a degree and come back to AD, to self funding and doing night school, and several other combinations. In general, students not going directly to graduate school would branch into another service specialty and then could apply for grad school options 18-24 months after graduation and ahead of their next duty station assignment from Personnel. Once the degree is complete and the bar exam is in progress is when you would be able to cross train into the JAG field.
My info could be dated, and is certainly not branch specific - but that was the case for my BS of Legal Studies.
