The first time you enter your Realm, you will find yourself standing before a special NPC
The ideal monster is going to be blue or possibly yellow, depending on your equipment and skills, and its weaknesses and behavior. The game is designed so that the lower levels go by fairly quickly; but after that your progress may slow down, so that the higher Runescape Gold you go, the longer it takes to reach the next level.
Just as someone new to a skill absorbs a lot of new information very quickly, someone with a great deal of experience has less to learn. You will also notice that for some classes you can level very quickly in an effective group, since you'll be able to fight much tougher enemies then you could while solo.
Entering the game - Once you have created your new character, you may enter the game. The first time you enter your Realm, you will find yourself standing before a special NPC (Non-Player Character). This is your class trainer, who will help you advance through the first part of your character's training and may, from time to time, have an errand for you.
Every time you gain a level, you should speak with your class trainer, both to train your skills and to see if he has any errands for you to run. Completing these will give you some coin, experience and possibly even an item.