During the game, you will pick up some missions. There are small terminals in which you can get the missions. You can choose between destroy or delivery missions. Characters with good combat skills should choose destroy missions while those not focused in combat should choose delivery. Keep in mind, the largest the reward of the mission the more difficult it may be. Once you've accepted a mission a waypoint will guide you on where to go.
There are also imperial missions and rebel alliance missions, whose appearance look differently, they have blue screens instead of orange like the standard missions. If you decide to complete missions for imperial you will gain faction with them but lose faction with the rebel alliance. Take note of which side you plan swg powerleveling on joining later. Along with the two fractioning sides, other missions include bounty hunter missions, entertainer missions and artisan missions as well.
Apart from these missions, you can take upon tasks that will help you gain credits, items or experience. You can get the tasks from special designated NPCs within each city. There are many places that you may enter in Star Wars Galaxies with out doing the task. Missions and tasks are great ways to get you started in the game if you prefer not to just run out and start killing random mobs.