The galaxy view is 1 one of the three points of view on the Duskers play map. This view is the mid-point between the system view and the universe view. The map itself consists of a series of beacons, for which jump fuel is need to travel in between. The galaxy map starts out mostly undiscovered, but as you explore, more of it becomes revealed (This process can be sped up with the use of a Long range scanner). Each beacon on the map is an individual system, which can be seen in detail in the system view when selected.
Some of the systems in the galaxy contain star-gates, which allow for travel between galaxies on the universe view. These systems are identifiable by the blue circle around them. Star-gates don't cost anything to travel through.
It is possible to jump between systems with visited stargates for free, although your P-fuel won't recharge.