When they start hearing about it, I am sure they will hear about bitcoin as well. In my opinion, government's digital money will help bitcoin to reach more people as government will try to develop basic infrastructures needed for their digital money and the same are enough for bitcoin to be adapted as well.
You know we have always wondered how mass adoption and acceptance of bitcoin will happen, maybe on a twist, this is one of the ways that we may achieve it by the government's thinking that their digital dollars or whatever CBDC that they are able to create will be able to overthrown bitcoin and the importance it has to us. for those who do not know about bitcoins, the introduction of CBDC by the government will facilitate and help people know about bitcoin better because there will always be comparison made between the CBDC's that are controlled by the government and bitcoins.