The concept of organization equates to a Tenant where all of your products are located in a number of product libraries.
Any individual users access is linked to a tenant, while many users can have access to many tenants as well. The 3D product configurator does not restrict access to specific product libraries, so if a user has access to a tenant, he/she has access to all of the product libraries and products within the tenant.
There are certain configurations that are also Tenant or organization wide, like the feature of Augmented Reality. Additional features may be also available in future.
As a user of the 3D product configurator you dont see the organization concept very strongly unless you have access to many tenants and even then the most you see of it is fundamentally only the notion of many tenants.