It is a lot of little things. To explain it requires a lot of time and it involves a lot of variables, so there isn't any one clear explanation to give because it changes from game to game.
In GENERAL everyone knows the basic concept of the game. Killing minions gives you gold, killing champions gives you more gold, killing towers is important because it lets you reach their inhibitors and then ultimately their nexus which allows you to win the game. As long as you play the tutorial or play a few games, you will end up understanding these basic concepts. What makes higher level players better is that they can do these individual things better then you and know how to do it safely.
One example I can give is being able to CS with just auto attacks. This takes a lot of practice and time from the individual, but if you're able to do it, it is almost ALWAYS worth it to not expend mana to finish minions until you're a higher level, trying to wave clear, or have some kind of gimmick that makes it worth doing (like Annie Q refunding mana on kill, or Veigar/Nasus Q giving stacks). Lets say your opponent uses all their mana just trying to kill minions because they aren't good at last hitting. This gives you an easy advantage because you will have mana to use your spells to harass them and they are OOM and can't trade back. In this case your opponent has to basically make a choice. They either need to port back and lose gold/experience or stay there and lose gold and POSSIBLY experience if you can zone them off far enough. This will basically guarantee that you will have the experience advantage so you will hit level 6 first and will be able to turn your level 6 power spike into a kill, snowballing you further ahead of your opponent both gold AND experience wise.
I feel I kind of went off on a tangent, but this is just one example of something that I understand and can execute or if it is being done to me, I know to play back more because I KNOW they will hit 6 BEFORE me and that if I'm too close to them, they will immediately turn onto me and try to kill me. Of course, this scenario was used with the assumptions that you're both mana using champions and both have an actual level 6 ultimate (not Jayce, Nid, Karma), but I feel this is enough of an explanation of one thing of the early laning phase that understanding helps you do better. As you get better, you just know these kind of things intuitively and can do them naturally, instead of having to "waste" time to think about it and you will just "know" that you can/can't do it. Of course some calls aren't 100%, but you usually make those even if they are risky because you're in such a BAD position already, doing it can't SCREW you even more then you already are. Just knowing all of these things adds up overtime and is able to allow you to perform at a better level compared to your opponents, which in turns allows them to usually come out ahead with the W. In general, the only things you can "easily" practice on your own is CSing and learning your champions abilities. Everything else you need to basically experiment with in a live game because each game is different and you will be going against different champions in different games, so the way you will execute something in one game can be drastically different then another one. If you work on all these things, eventually you'll be able to play at a higher level then you currently are at yourself and will most likely be able to look back on it and go "damn I sucked." Oh and just to let you know, you will most likely thing that no matter WHAT level you get to unless you win like worlds, but even then I'm pretty sure you would make mistakes in the game that make you shake your head in shame at yourself.