In this article, we define the concept of digital gap as a multidimensional construct, and account for the contradictory relations stated in the scientific literature concerning the appeal to Internet by the more or less privileged strata of society. We explore the state of the digital gap and analyze diverse policies implemented by federal and provincial governments to support accessibility to digital resources in Quebec. After presenting results of a survey with parents concerning access to information and training in the exercise of parenting skills, we analyze these data in accordance with factors associated with the digital gap. We conclude by underlining the danger of compensation policies for the most vulnerable strata of society when government services are placed online.