Rest of the headline: "software distributed under the GPL, MIT, BSD, and Apache licenses are exempt"

And then further into the text it's clarified that there also isn't a specific list of open licenses, as the terrible headline would have you believe, but instead a description of what is considered open

With the caveat that I haven't read the actual legal text, this seems to be an eminently sensible law (it'd be better if it weren't needed, but here we are).

In summary: not a Linux exemption, and not an exemption for a specific list of licenses either.