"Minnesota Broadband Access Availability Act"; establishing the broadband access availability account in the special revenue fund and appropriating money in the account to the commissioner of administration for distribution to school districts and libraries to fund technologies, equipment infrastructure and components capable of providing broadband telecommunications and to expand, enhance or replace integrated systems with advanced telecommunications with broadband capability; imposing a surcharge to be collected by communications providers on customer access lines for voice, data or video service, requiring remittance to the commissioner of revenue for deposit in the account; providing for an end user voluntarily checkoff on bills for deposit into the account, requiring payment to the commissioner of revenue for deposit purposes; requiring deposit of certain costs and fines assessed against communications providers by the public utilities commission (PUC) into the account; requiring distribution of proceeds of the mandatory surcharge to the commissioner of children, families and learning for installation, upgrade and ongoing costs of broadband infrastructure for K-12 public school districts and libraries, requiring distribution according to criteria to be established jointly by the commissioners of children, families and learning and administration, specifying certain criteria content requirements; appropriating a certain percentage of the money remaining in the account to the commissioner of trade and economic development (DTED) for matching grants to community telecommunications development projects and statewide industry marketing partnerships and requiring appropriation of the money remaining in the account to the commissioner for grants to communication providers for broadband service in unserved or underserved areas of the state, specifying certain grant eligibility and preference requirements and requiring award of the grants through a competitive award process; sunsetting the program (ra)