Studio shows the name of the logged in user on the bottom right, but not the organization. If you are member of multiple organizations this makes it easy to create/import a project in the wrong organization. The only way to find out is to use the CLI (appc whoami) or open the dropdown on the Studio Dashboard.
The prefered UI would be to have the organization name listed with the name.
Perhaps clicking the organization name would then allow you to switch organizations as suggested in