An audio interface is a piece of electronics that makes it possible to connect sound, i.e. a microphone (singing/speech/instrument), an electric guitar or a keyboard to a computer and record it directly in an audio software (NLE).
If you want to listen to good quality audio with professional headphones and feel that you are not satisfied with the quality directly at the headphone output of the PC, you need a sound card with better amplifiers or a headphone amplifier.
My recommendation goes to Fiio, for example with the Olympus2 headphone amplifier/DAC.
FiiO Olympus2 E10K (USB-DAC)