The currency in Cyberpunk is called the Eurodollar. Or "Eddies" for short.

They function much like any first world currency, though they work on a credit system.

There's no paper or coins transactions.

There will be various types of vendors in game to purchase anything from cybernetic augmentations, to weapons, and outfits. (As well as vehicles and upgrades for guns and your vehicles.)

Also; you can hack the ATM machines on the street and basically steal all their money. (Since they confirmed any electronic in the game can be hacked, including vending and soda machines.)