L1 usually refers to the left trigger where your index finger rests while holding a controller. The LB is the bumper which is the button directly above each trigger.
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if you get a adapter
It is the button on the top left, sometimes called the bumper, it above the left trigger
on top of controller
I always called it an Xbox controler.
If you mean the original Xbox controller, simply plug it into your Xbox. If you mean the Xbox 360 controller, check if it has enough battery, if not, get the charger and plug it into the controller, then into a USB port in the Xbox 360. If it does have enough battery, merely press the Xbox icon on the controller.