Of course, the goals of the Axis and the Allies were very different in this war.
The Axis started the war because their goals were more aggressive. The Axis countries felt the status quo after WWI was unfair to them. They felt it did not give them the place in the world that they deserved. Therefore, all of the main Axis countries were trying to gain more territory and more power.
By contrast, the Allies had a much more defensive goal. Militarily, all the Allies wanted to do was to defeat the Axis and cause them to surrender unconditionally.