No, I don't believe you will be sent a policy unless you ask for it. Did you check on the HAL website? I know they have a summary but there may be a link to the full policy. If not, ask whomever you booked with to get you a copy.
Can I ask, why did you purchase it so far in advance of your cruise? I usually purchase just before final payment. That way, if something comes up that I need to cancel, I'm not out the cost of the insurance.