Summerset hasn’t dropped on my server yet, but I can give some broad tips.

If it’s like vvardenfell, there should be a boatswain or caravaneer in the capital city. Zoom in on the city map and look for an icon that looks like an anchor or two ship wheels. They should take you to several other zones to open wayshrines.

Another travel tip for new players is that you may travel for free to any online members of any guild you belong to. It doesn’t require interacting with them at all...you just get a port to their nearest wayshrine, unlocking it for you. You can find guilds in the guild recruitment sections of this forum. Then Once you belong to one, go to social...guilds...choose guild...roster. Online members have a green icon, and selecting them opens the travel option. You can’t see the exact wayshrine, but you can see the zone. This trick is really helpful to new players in saving quick travel gold costs. You get down in a delve, complete it and don’t want to walk out...quick travel to someone in reapers March, that almost always takes you to the busy trade city of rawlkha.

Last newbie travel tip - when you hit level ten go into Cyrodiil and complete the two minute starter quest. This levels your alliance war rank and opens a skill called retreating maneuvers, which is a 30% speed boost. This is very helpful for young characters who are slowly mounting or walking across the lands. To get into Cyrodiil, once you’re level ten go to your campaign menu. Find the non-vet campaign and join it (home or guest, doesn’t matter). Then from now on this menu will allow you to queue up for Cyrodiil and travel there. You can explore if you like, Cyrodiil is huge and cool...but for this it’s just a quest at the gate when you get in. They ask you to fire a siege, then give you enough reward ap to unlock the speed skill.

Welcome to the game!