You can get the weekies and dailies from the combat section of the imperial fleet.
One weekly will tell you to go Ilum and help the war efforts, so you go to Ilum and help capture the control points until you have captured enough to complete the quest.
The 2nd weekly will tell you to win 9 warzones.
One daily will tell you to help in Ilum and the other will tell you to win 3 warzones.
Start farming these and you will get satchels containing centurions commendations to buy gear or you may get lucky and get a piece of gear in the satchel
Sorry i have not explained it well. Gearing up in this game takes a long time so you won't find a really fast way to do it