Well is it normal to not want to use a condom

Grow up: unless you want to be a father use a condom. She may also be concerned about STI's if neither or both of you have had full tests after previous relationships.

It's normal to not want to, but do it anyway. If you still have doubts about if it's necessary, watch youtube videos of shitty toddlers and spend some time in a Wal-Mart. Also consider any plans you have for the future, because a surprise baby sure as hell won't.
Remember, it's always better to be D.I.N.K.(Y.): Duel Income, No Kids (Yet)

Its normal not to want to wear 1 but common sense says wear 1 for own protection if nothing else

It's normal but you should still use one

What are you gonna do if you get her pregnant, you selfish dumb ass?

It's normal to not want to use one, however you should use one. It's better than being tied down to a kid for 30 years.(I was going to say 18 years, but these days no one can afford to leave their parent's houses by 18, so if you want to save your wallet and your future wear one).

The solution is so easy to resolve.
Either use a condom and have fabulous sex with your girlfriend, or ...... no condom and no sex. The choice is yours.

On the other hand, if you desired to have sex with me, mount me and slide your cock into me, I would absolutely insist that you did not wear a condom. The feeling of being filled with cum, is pure delight.

It is more "normal" (in the sense of "natural") to not want to use a condom than wanting to use one. But surely not a good thing if you want to avoid making your girlfriend pregnant.

I once didn't wear a condom while fucking my wife individual Dorn and now I am stuck with two waterheaded children individuals.