Hello and congrats on the new ride!
Here's the log link (this is based on the April 2022 Navigation Map and Software Update):
GENESIS NAVIGATION MAP UPDATE > Notifications
Some other helpful links:
1. Official Genesis update site (allows you to download the Navigation Updater for manual Nav update):
Looking for the latest version of infotainment software for your vehicle? Please use your VIN or vehicle type to find and download the update.
update.genesis.com
2. Info on OTA updates:
With our Over-The-Air (OTA) map updates you'll be able to access the latest maps and ensure your Genesis navigation system is always up-to-date.
owners.genesis.com
3. System & Map update (Option to purchase the map & software update on USB vs doing OTA, or manual download/install):
www.mapnsoft.com
All in all, update inform is scattered across different sites and can be a bit confusing. Your best bet is to wait for an in-vehicle OTA update notification (and/or a notification by email or via the Genesis Connected Services app), or do a manual install using the Navigation Updater (#1 above) if you're tech savvy.
Help to this helps!