Next step, is waiting if there will be a referendum. (100 day period)
The FDPIC will make detailled statements on the new law once the referendum period has passed.
There is a good write-up in German by Noémi Ziegler at
https://datenrecht.ch/die-dsg-revision-ist-abgeschlossen/
David Rosenthal (VISCHER) has a summary at
https://www.vischer.com/know-how/blog/neues-datenschutzgesetz-das-muessen-sie-wissen-38752/
Final text (in parliament) is here:
https://www.parlament.ch/centers/eparl/curia/2017/20170059/Schluzssabstimmungstext%203%20NS%20D.pdf
The VUD published an overview here:
http://www.vud.ch/view/data/2124/vud_rohstoff_revidiertes_dsg.pdf