This is the world map. A player can not view the map until they reach the Classical age. Once unlocked, a player can attack other players, game spaces and Barbarians. They also can open trade paths between other friendly players. A player can also find other spots to start a second city, as long as it is not touching any other city or resource tile.
The world map is the map you can access by clicking the map icon.
While in the world map, click the Settlement icon to view your city.