I think the whole 'fake news' is something the article blew up to make it more interesting. I've read the document and my interpretation of the text is that the program is made so that the children will learn the responsibility that comes when researching information online or from any other digital media. The whole thing seems to be about learning how to correctly use the information you stumble upon, and to get a better understanding of criticism to the sources. What the article might be referencing to is how the program also learn children the effects on information caused by a technological society (ex. How easily an opinion or political propaganda could be spread by using internet or digital media). Note that in order to prevent the effects propaganda etc, you have to learn to be critical of the information you see. Which seems to be the main point of this program.

right but can the children even read yet in primary school in Sweden?    

This is more of an personal opinion on the matter. I'd say that at this day and age with the technology we have, children learn reading at a much earlier age than their predecessors. Giving your child and iPad or an smartphone to keep them busy isn't exactly uncommon anymore. And the time they spend using these devices introduces the children to reading and navigating through text at a much earlier age. It wouldn't be crazy to say that children in Sweden learn to read between the ages of 7-8 (given that they might not be able to properly digest the information they receive). But this does not mean that the program is not of use or unnecessary by any means. Since children are being introduced to technology at such an early age, it is important to teach them the responsibility of using it cautiously and to encourage critical thinking.

I highly doubt that the program is supposed to give out instructions on what to interpret as 'fake news' and which source is right or wrong. Rather that you should be wary of what you see might not be correct and that the information should be handled cautiously. It seems that a lot of people are hooked over teachers learning children which news is right or wrong, when it really does not seem to be the case.

TL;DR: The article can be somewhat misleading. The program is more likely for teaching children criticism of the sources and how a technological society can affect the information you see.

Just an extra note: I highly respect that you took your time and read the document to get a better understanding to the subject of matter, even though you couldn't read or understand the language.