Yup, i heard about it in the newspapers.
Previously, they talked about an interest in Roma where they have already invested with Qatar Airways as the shirt major sponsor.
I don't know much more than you though.
I'm not specially fussed about it because their decision to invest in PSG/Paris/France is eminently political (geopolitical). They need France support, especially in those troubled times they are experiencing with their neighbours. PSG is just a small part of the deep investment and collaboration they have built with France.
Business wise and for further political goals, it could be good for them to own some clubs from Premier League (they have already deep relationship with UK) or even Roma (would be funny though since the Italian are kinda "xenophobic" against qataris since thay always have a comment about them when we face an italian team).
To be honest, i don't care too much about what they do though, i only care about my club. As long as they are not trying to fuck the club over (and they are not), they are doing their duty as an owner.