Galaxies come in many different shapes which are determined by the affects of past gravitational encounters with other galaxies, and other factors we are only now beginning to understand.
The Milky Way is a spiral-type galaxy of class Sb-Sc meaning that it has a strong, pinwheel-like pattern with two or more arms, which are connected to a mid-sized nucleus of stars. A survey of galaxy morphologies in the universe seems to show that galaxies as large as the Milky Way are typically either spirals or ellipticals with about equal numbers in each category, except within clusters of galaxies where ellipticals can outnumber spirals. For all galaxies in the universe, the population may be dominated by the so- called 'dwarf irregulars' which are about as big as the Large Magellanic CLoud and have no regular shape to them at all.
So, our galaxy is typical of the spirals we have surveyed so far.