A term you might run into in reading is the significator. This is the card that represents the person being read. You can choose a significator out of the deck, which in many cases is based on gender or element, or zodiac sign. The zodiac sign is connected to one of the four elements; the element is related to a suit of the Tarot, and the age and gender of the person point the way to a significator. And the hip bone's connected to the thigh bone, the thigh bone's connected to the leg bone, and so on.Older guys are usually represented by Kings, younger men by Knights, adult women by Queens, and younger women by Pages. This is one method to it. Another is that each Zodiac sign (there are 12 Zodiac signs, and 16 Court cards in the Tarot- some of them double up) is assigned a Court card, also depending on what element that particular Zodiac sign falls under.
Of course, none of this is set in stone- it's actually somewhat variable. My own Zodiac sign of Libra, for example, puts me squarely under the Queen of Swords. However, I could also use the King of Swords, a strong Air sign, as Libra falls under the element of Air. And if you really want to get confusing, I could also fall under the King of Cups, as my Sun sign in the Zodiac is Libra, however all the other planets in my chart are under Scorpio, a Water sign.
Here are some of the general characteristics of each Court card- I used the suit of Swords here, from various decks and depictions, simply for the sake of brevity and because it also happens to be the suit most closely related to myself.
Another interpretation of the Pages are messengers, that is, they represent bringing on change or a message of change. Being related to Earth, the Pages represent potential, as the ground has the potential to bring plants out of seeds. The same thing applies here- the messages these Pages bring are not just advertising circulars, they mean drastic change and upheaval, and with this, the potential for a new beginning.
So ultimately there are several ways to interpret the Court cards- ultimately, it's a two way street- the cards respond to different people in different ways, and it's really just a question of learning how best to interpret the cards as they show the same message to you.