You're studying Arduino and you haven't yet found any examples that switch an LED on and off? I find that hard to believe.
So put the 7 LEDs in your program and start with a simple task. When either switch is pressed switch one of the LEDs on and all the others off, say the leftmost one on for SW0 and the rightmost one on for SW1. That should be easy and it gets you most of the way there. Post THAT program and we can go from there (if you still need help).
Oh and in your initial specification you also need to say what should happen when you press Go Left and the leftmost LED is already on.
Steve