As for why you and your brother/sister aren’t identical:
For each and every one of those traits that make up a human being, each parent passes on one of two possibilities. For example, let’s deal with eye color. Dad might have inherited a Brown eyed gene from his father, and a Blue eyed gene from his mother. Consequently, Dad has brown eyes (because brown is dominant over blue). Mom inherited blue eyed genes from both of her parents, and so has blue eyes.
When Mom and Dad reproduce, the egg and sperm cells have exactly ½ of the total number of genes the rest of their cells have. Random chance decides which of the genes they inherited from their parents go into each egg or sperm cell. Some of Dad’s sperm will have a blue-eyed gene, some will have a brown-eyed gene. (In this case, all of Mom’s eggs will have a blue-eyed gene, since she got blue-eyed genes from both parents)
Now Mom and Dad reproduce. By random chance, the eye-color gene on the sperm that happens to fertilize Mom’s egg has Dad’s brown-eyed gene. Mom’s egg, of course, has a blue-eyed gene. Consequently, the new fetus will have brown eyes (again, because Dad’s brown eyed gene is dominant over Mom’s blue-eyed gene).
But now a year later, Mom and Dad reproduce again. Hello, sibling! This time, by random chance, the eye-color gene on the sperm that happens to fertilize Mom’s egg has Dad’s blue-eyed gene. Again Mom’s egg has a blue-eyed gene as well. This time, the new fetus will inherit two blue-eyed genes, and consequently have blue eyes.
Both you and your sibling came from the same parents. But random chance decides which of the genes your father inherited were carried by the sperm that created you, and which were carried on the sperm that created your sibling.
Now when you take all those possible combinations – genes for eye color, hair color, height, ear lobe connectivity, ability to curl your tongue, everything that makes a person a person – and you realize you might get any one of the two your mother has plus any one of the two your father has, and then whichever one is dominant takes control…. there are countless possibilities for the final product.