Commonly understood term or phrase to distinguish an entire hierarchy of employees in an organisation from the direct team

Solution 1:

I think My Team and My Hierarchy work perfectly well and will be understood, especially if you couple the terms with a simple icon (one showing parent-children nodes, the other parent-children-grandchildren).

You could also post on ux.stackexchange.com for more ideas to clearly convey the concepts in your user interface.

Solution 2:

The terms that I sometimes hear "for an entire hierarchy of employees in an organisation" include "organization tree", "organization chart" (sometimes shortened to "org chart"), "corporate hierarchy", and similar terms. I don't think these terms actually apply well to this context.

For your case, I think the second option might be the best, though I might change it to:

• All employees
• Direct & Indirect Reports
• Direct Reports

I'd avoid using "Team" with "Hierarchy" as the two could be confused, although you could make it more clear by qualifying them, such as "Full Team" and "Immediate Hierarchy", though I still think "Full Hierarchy" and "Immediate Hierarchy" is better because it uses consistent terms ("Hierarchy").