The game comes directly from PSN Store, you will be able to go online, get updates, etc.
After the setup process, the game will be available to launch on your own account, just as any other game or app you purchased directly in PSN Store.
In Kerbal Space Program, take charge of the space program for the alien race known as the Kerbals. You have access to an array of parts to assemble fully-functional spacecraft that flies (or doesn’t) based on realistic aerodynamic and orbital physics. Launch your Kerbal crew into orbit and beyond (whilst keeping them alive) to explore moons and planets in the Kerbol solar system, constructing bases and space stations to expand the reach of your expedition.