Private keys are usually not made available to the wallet owner, (although some wallets allow you to import it) rather you are given a seed phrase or recovery phrase.
Not true. You can get private key in almost all of the software wallet (in desktop/PC).
This is true, but generally speaking, most users should not be directly interacting with their private keys (as opposed to their wallet software accessing them), as doing so is a good way for them to get compromised.