"To obtain a passport" means to apply for and receive an official travel document issued by your government which allows you to travel internationally and enter other countries legally.
Consider the cost of obtaining a passport if you do not already have one, and any other documents needed for international trips. (travelinsurancereview.net)
Well, the thing is, my country of origin has basically no government so no way of obtaining a passport. (law.stackexchange.com)