While upgrading the national broadband infrastructure is needed, and openreach should probably be spun off from BT to become a separate company. I don't think offering free broadband to everyone is necessary and a good way of spending public money. I would not want to go from the situation we have now of dozens of ISP to choose from to supply your broadband just having one state run ISP, which is what would happen if there was universal free broadband, as how would the likes of Virgin, Sky, Cityfibre etc compete?
It another promise made by politicians that will probably never materialise anyway even if Labour do get into power. And no doubt even if it was nationalised it would be privatised as soon as the Tories got back into power anyway.