Earlier today, I bought a Blizzard Gift Card so that I could buy the Forsaken Legendary Collection as it's currently on sale for 35.99€ The shop tab told me that I should expect an update to start to add the new content, but nothing is happening. The game won't start properly and I really don't know what the issue is.
Technically, everyone has the content when they install Destiny 2. The license just allows you to access it. As such, there's not really an update to download as you probably already had it. I would do a Scan and Repair to see if it fixes your launching issue.