How to get global entitlement group assigned to a specific pool?

I am trying to extract the global entitlement group assigned to a specific pool.  I have installed VMware.Hv.Helper module and I am using Get-HVPool.

$poolName = "test_pool_01"

$pool = Get-HVPool -PoolName $poolName

To get the pool global entitlement group assigned, I tried:

$pool.GlobalEntitlementData

I got:

GlobalEntitlement           

-----------------           

VMware.Hv.GlobalEntitlementId

Obviously this does not show the global entitlement group assigned to the pool.  Is it possible to get it based on the given pool name?