If an organization you are connected to assigns a task to your organization, it will simply appear on the map and sidebar in your dashboard as unassigned.
You can then assign it to one of your drivers as if you had created the task. The only difference is that you will be unable to edit most of the task's attributes (other than assigned driver) or reject the task, unless your connected organization has given you the permission to do so.
Once the driver starts the task, the connected organization will be able to see the location of your driver in their dashboard:
Upon delegation of a task, your connected organization is able to choose between having the recipient of the assigned task receive SMS notifications according to the configuration of the organization that created the task, or your organization.