There are Black Ops 3 supply drops in the new Call of Duty. You can get cosmetic items in the Call of Duty: Black Ops 3 supply drops. You don't get weapons upgrades in these supply drops. Instead you get camo and other cosmetic items.
There are two versions of Supply Drops; a common one and a rare one. There is a chance to get a rare item in a common Supply Drop, but if you want to make sure you get one you will need to buy a rare supply drop. Common drops are 10 and rare drops are 30.
To unlock a supply drop you need to earn Cryptokeys. You earn these as you play Call of Duty: Black Ops 3. You should earn about one Cryptokey per game you play. There is no way to buy Cryptokeys using real money at this time.