After you arrive in Hyrule, you travel to the settlement of Lookout Landing.

Go to the Destination

Your quest destination will lead you to Purah's house. On the way, you can talk to Karson, Anson, and Robbie.

Go up the stairs to the upper part of the building and approach the door, and someone will come running up to you. This is Josha. Talk to her and there will be a cutscene.

After the cutscene, you can view Character Profiles in the Purah Pad.

Purah asks you to meet the search party at Hyrule Castle.

Explore Lookout Landing

Before you leave Lookout Landing, you can talk to Scorpis in the middle of the town and he will open the emergency shelter for you. You will find a couple of weapons there, as well as a bed that you can use to rest. You can talk to Burmano to start the Today's Menu side quest. You can quickly leave the shelter using Ascend.

There is a shop in the eastern side of Lookout Landing where you can buy armor, apples, arrows. You can also sell things here. In particular, if you found ores like rubies, opals, etc., they sell for a good price.

When you're ready to move on, go north from Lookout Landing to meet the search party at Hyrule Castle.