If it is the main shut off valve at the street, that is usually called the "Corporation cock" and it is the responsibility of the utility. They usually have the wrench to turn it off.
If it is the valve in your house, then you own it. If you call a plumber, he will probably have (maybe illegally) the wrench to turn off the CC.
It is possible to replace the valve if you can get the corporation cock shut off. It sometimes involves breaking the wire seal on the water meter. You would have to get the water utility to replace the seal.
My original valve from 1965 was a globe valve and I left the body in place after cleaning out the inside parts and removing some of the seat to avoid pressure loss. The body left me with a threaded fitting that was easy to put a new valve on.
Use a full port ball valve when you replace it. If you are lucky or search hard, you may be able to get a valve that will match the existing fittings. The water meter has union ends (those wire seals again) which usually makes it pretty easy to replace a valve with one having the same end fittings.
I'm a do-it-yourselfer so I usually estimate low, but I would guess $200. You will also probably pay a good markup on the valve.