you are right that militaries=standing. That it why they are called militaries--you do them standing with an upright position, as if you were standing in line in the military.
from t-nation article "shoulder training bible":
Quote:
3. The barbell military press: Let's get one thing straight: you can't perform a seated military press. It's impossible! A soldier doesn't sit at attention, does he?
The term "military" refers to the posture taken during the execution of the exercise: hold yourself like a soldier standing at attention: chest puffed out, heels close together, legs straight, chin tucked in, shoulders back.
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But, if your program said both, they probably want to do standing and seated.