Not very complicated at first. Just practice flying without hitting stuff, then introduce more concepts slowly. Familiarise yourself first with the difference between supercruise and frame jumping. Supercruise lets you travel IN SYSTEM at relativistic speeds, it's how you get from planet to planet. Frame shift or hyperspace jump is when you jump instantly (apart from a short time in 'witch-space' as it is called, which is nothing more than a glorified loading screen) and is how you travel from star to star, or rather, system to system. Personally, I use S on the keyboard for supercruise and J (as well as a button on my joystick) to 'jump'. If your destination is obscured (for example by a planet or star), then you can supercruise away from the object to get a clear line of sight to your destination, THEN you can jump.
Next get used to viewing the panels to the left and right (and up and down, but don't worry about those at first). The way you do this will depend heavily on what control method you use, so I can't offer direct advice. But basically, you have navigation and targets on the left panel, and your ship info in the right panel, both contain critical information you will need immediately, so get used to flipping these screens (and flipping hte sub tabs within them) to quickly get the info you need.
When you are approaching something in supercruise, you'll notice that your speed is relative to your distance from massive objects (as you approach something massive, full throttle makes less and less 'speed'). The trick to approaches is to throttle back to 75% (use a hotkey or a joystick throttle as you'll be using hte '75% throttle' command a lot), when you see 7 seconds to destination. Once you do that, it will say 7 seconds as you cruise in all the way, until you get the message to drop out of supercruise. When you get better at this, you can practice the '6 second rule' which just requires a bit more concentration and throttle control, otherwise you overshoot when the gravitic fields around you change. For the time being stick to the '7 second rule'. By the way, 8 second rule for planets until you become very good at planetary approaches.
Those are the things I wish someone had told me on my first day, hope it helps.