Is breeding and evolution identical words/meanings?
Not quite.
Breeding is reproducing.
Evolving is reproducing with variations. Variations are very largely, but not exclusively, routine. Having two sexes increases the match and mix of potential variations.
The variations may be nothing new. They may confer neither advantage nor disadvantage to the being's survival and breeding ─ populations tend to be evolutionarily stable when the environment is stable. But should some variation confer an advantage, even a relatively tiny one ─ maybe, for example, the ability to go for longer without water (through body size, more efficient reabsorption before excreting, better regulation of cell-water ratios, hair growth that makes sweating more efficient, whatever), and if there's major climate change, this
may determine ─ at least in the wild ─ who lives long enough to breed, who's healthy enough to attract mates. And increase the odds that the offspring will also have this advantage (given that it's still an advantage).
Slightly oversimplifying, surviving long enough to breed is the only test. Every single one of your ancestors across over 3.5 billion years of life evolving on earth passed that test. That's how you ended up as a kind of mammal, a gregarious primate, modern H sap sap, alive in 2020.
