A garden hose adapter sized to your current faucet.

You'll need wrench to first unattach the nozzle from your faucet. Turn clockwise looking down to loosen.

The fitting you want (usually male i.e. threads on the outside) needs to have the same fitting size that you can screw into the faucet to replace the nozzle, AND have a male 3/4" connection on the other side.

An example is this

https://www.homedepot.com/p/NEOPERL-Solid-Brass-Dual-Thread-for-3-4-in-Hose-or-Male-55-64-in-Adapter-37-0109-98/202243060

You might need teflon tape to install the ftting so it doesn't leak. With the fitting thread facing you, wrap telfon tape around 3-4x clockwise and screw in/tighten.

There might be some quick release fittings but they are longer and also result is producing a fat stream instead of a spray.

Have you unscrewed and removed the aerator there at the outlet of the faucet? (possible on this style of faucet) That exposes the threads to which an adaptor would screw -- if you were lucky, the hose would fit right on there (but I suspect the hose is larger).

If it is just for a one time use, use some plumber's putty and duct tape to make a temporary connection.

If it's for an aquarium, just get a Python and be happy.

What are you trying to accomplish with the attachment?

If you want to water plants on a balcony (for example), there are actually hoses that are specifically designed to fit onto a kitchen faucet.

Whether this is prudent in terms of possible disastrous consequences is another issue.

Unscrew the aerator on the faucet and take it to the store to find something with the same threading and depth. Most of all the depth, for a while it was on by about 1/2 a thread and could pop off if I looked at it cross eyed. The other side needs to be hose thread but that's easy. I've bought some that didn't work so the one I've got is treasured! The ones that didn't work looked like the one posted earlier but that's my faucets, yours may be different. This works well for my purposes, washing dogs in warm water outside once a month and changing 90 gallons of water in my aquarium weekly. I don't dare shut the water in the hose off but suspect I'm being cowardly more than it's a potential disaster. The aerator hasn't gotten damaged in 18 years with only 2 faucets. I've no experience with quick connects used for dishwashers and such.