Get familiar with your ship's controls in Star Citizen's flight simulator, Arena Commander. Select the Singleplayer Free Flight mode from Arena Commander's main menu to hop into your cockpit and log some flight time by yourself. You can use the mouse and keyboard as outlined below or use a joystick to control your ship.
The W and S keys control your ship's speed. Fly faster by holding down SHIFT to activate afterburner. To roll left and right, press Q and E respectively. Press A and D to strafe left and right. SPACE and LEFT-CTRL to strafe up and down. N will change your flight mode between normal and landing mode.
Move the mouse to steer the ship's pitch and yaw.
For more information on what your ship is capable of, review the full keymapping.