So recently my boyfreind and I have broken up, he bought me a car with cash when we were dating. Now that were broken up can he take my car if its in both our names? And a gift?

If the car is in both your names you both own half the car. If it was truly a gift then it wouldn't be in his name as well. But since you are both owners, he can't just take it.

If it is in both of your names, he can just drive off in in, since it is legally his car also. Now you can also just take it back, someone needs to resolve who owns, it.