Yes for DUI if you show your card to the officer (generally shouldn't do that, but could see edge situations in which one might choose to, such as being caught with cannabis during a stop) and Yes true for the license to carry.

Worse, can't even legally possess a gun at all under federal law. The reply below is incorrect. While the state legislature can debate state law regarding concealed carry, that doesn't change federal law, which doesn't permit possessing a gun at all.

Many will point out police can't easily access the cannabis card database. Correct. However, if one is caught in a situation involving a firearm, such as using in self-defense or the firearm is stolen and used in a crime by someone else, the issue could come up. Admittedly the risk is small, but very real. Federal law needs to be changed. Until then it's legally one or the other. Card or gun.