The centre of the galaxy is quite literally your central goal in No Man's Sky: your raison d' tre, the affirmative solution to your crushing existential woes, and for some an absolute crushing disappointment.
If you somehow hadn't already heard, then avert your gaze for now, because here's where we'll be explaining not only how to get the centre of the galaxy but also what exactly happens when you finally make it there. So, of course, there are full spoilers ahead. If you can really call them that.
Getting to the centre is, fortunately, relatively simple business in No Man's Sky - the game gives you an irremovable waypoint marking the fastest route, after all - but here's a quick breakdown of what exactly you'll need to do to dodge the early-game obstacles and make it there as quickly as possible.