Is there a way to see your character's progress to the next level in SW:TOR?
There's an experience bar along the bottom of your center hotbar. If you hover over it, it will tell exactly your accumulated and required xp to the next level. If there is a green range on this meter, that is "rested" xp which builds quickly in rest areas (logged on or off) or slowly while logged off outside of rest areas.
You may see a bar below the xp bar. That is the legacy bar.