To start, sit in your kayak. Your backside should be all the way back in your seat and your knees comfortably bent. To find the proper foot well, straighten your legs all the way out and then bring them back one "well." If your legs are too straight, you may find you put strain on your lower back. If your knees are bent too far, you may end up knocking your knee caps when you paddle.
To find your hand placement on your paddle, start with your hands about shoulder width apart and centered. If you place the center of the paddle on the top of your head, your elbows should form slightly less than a 90 degree angle. There should be an equal amount of paddle shaft and blade beyond both of your hands.
Some paddles may have the blades offset, or feathered. A feathered paddle presents less surface area for the wind to catch. However, a special technique must be used to get both blades in the water. If the paddle is a right hand control, (when the right blade is held vertical, the left blade "scoop" is up) the right hand will stay tight and your left hand loose. To learn the process, hold the paddle tight in your right hand and loose in your left. Using the right hand, rotate the paddle blade back and forth; it should slide through your left hand. Now take a stroke on your right, cock your right wrist back (left hand staying loose and somewhat open) and take a stroke on your left, and so forth. If using a left hand control paddle, reverse the process: the left hand stays tight and the right loose.
The basic paddle stroke is a forward power stroke. Place the paddle blade in the water near your toes. Pull the paddle blade back alongside the boat to approximately your hip. Lift the paddle blade and take a stroke on the other side.
If the paddle blade drifts out to the side in an arc, it will force the bow of the boat to swing away from the paddle blade. This is called a sweep stroke and is used to turn the boat.