Since you don't specify the tech level or the military force levels of the enemy, there is no way to give a good answer. But let's say that the enemy has WWII tech levels, and has naval, air and marine forces adequate for the job. Meanwhile, our defenders have current tech levels and (as you say) no military to speak of. In that case the answer is straightforward.
Pretty much the response is the old couplet:
"When uncertain or in doubt,
Run in circles, scream and shout."
Or, if you prefer one-word answers, surrender.
Since the country apparently has no naval or air forces, there will be almost nothing that can be done to resist the invasion force when it arrives. Conceivably the nation could convert its civilian aircraft to kamikazis by loading them with explosives, but that would pretty much require the existence of an explosives industry. Furthermore, even WWII anti-aircraft defenses will do pretty well against civilian aircraft, unless the pilots are very good at low-level flying and have an excellent radar/communications net to guide them on their terminal run. And preemptive strikes on airports will cut way down on the number of kamikazis which can be launched, since in the absence of AA defenses for the airports such strikes can be placed with some precision.
You just don't build an army in two months, and you don't build up the equipment needed for that army in two months, either. Warships, combat aircraft and artillery are long-lead, specialty goods.
Your best bet would be providing small arms to the populace and providing for a guerrilla resistance after the occupation, using your SF troops as cadres. This will have the problem that there is no way to select for effective leadership at any level until the shooting starts - the defenders apparently don't do violence much, and peacetime armies traditionally have to undergo a steep learning curve when they transition to combat operations. (Quick paraphrase: peacetime militaries tend to promote a lot of people for the wrong reasons.)