Disable IPv6 and restart your system.
If that doesn't help:
•
Switch DNS to Cloudflare (directions near the bottom of the page, in the "Setup on PC" section). Restart GOG Galaxy afterwards. If there's no improvement, you can revert the changes.
• Make sure
the GOG Galaxy executables have access through your firewall.
• If available, try testing through a different Internet connection, for example using your phone as a mobile hotspot.
• If all else fails, you can use a web browser to get the offline installers from
your library. Games installed via offline installer can be added from the cogwheel - Add Games & Friends - Scan Folders for GOG Games. It's possible the installation part is the only thing that doesn't work for you.
• Lastly, this might be a server-side issue. If so, these sometimes only affect certain accounts. So even if it works for others, it doesn't necessarily mean nothing's broken.