This is a cheap plastic shutoff valve with non-replaceable hose.
Typically one would replace the cheap shutoff valve and its hose with a better quality shutoff valve (normally metal) that actually has a fitting for the standard faucet hose to screw to.
Alternatively you buy the whole valve and hose thing, but other than specialists that supply penny-pinching quality-averse builders, I can't say I've ever seen one of those in a decent hardware or plumbing store - not that I've been specifically looking for one.
If I moved into a house with those installed, I'd count them up and make a bulk buy of enough better-quality quarter-turn valves and hoses to replace them all.
If the supply lines are PEX (not clear, but might be?) you may well need to crimp the new valve on after removing the cheap valve, unless you buy the (overpriced once you are doing a few fittings, IMHO) slip-on connectors (Sharkbite®, et al.) Or there might be a threaded fitting on the end of the PEX line the cheap valve threads into - not clear from this picture, either.