Within a population of animals, plants or any living organisms, there will be inherited variations. Within each species the individuals with the variations best suited to the environment will survive better than the others. More of them will survive to reproduce than the others. When they do, they pass on the genetic information for these variations to their offspring.
Species gradually evolve in this way. This process is called natural selection.
Over time a population can change so much it may even become a new species, unable to reproduce successfully with individuals of the original species.
Artificial selection is when people use selective breeding to produce new varieties of a species. A variety is a type of a particular species that is different in some clear way from other varieties of that species.
For example, pedigree dogs come in lots of different varieties, called breeds of dog. They may be different colours and sizes, but they are all still dogs. They are all still the same species. Different varieties of dog have been produced by selective breeding.
Suppose you wanted a variety of cow that produced a lot of milk. This is what you could do:
choose or select the cows in your herd that produce the most milk
let only these cows reproduce
select the offspring that produce the most milk
let only these offspring reproduce
keep repeating the process of selection and breeding until you achieve your goal.
The key here is to identify the feature you want, and only breed from the individuals that have that feature. Here are some examples of what selective breeding can produce:
hens that lay big eggs of a particular colour
cattle that produce lots of meat
tomato plants that produce lots of tomatoes
crops that are resistant to certain plant diseases.