To get FQDN of local computer:
PS C:\> [System.Net.Dns]::GetHostByName(($env:computerName))
To get FQDN of Remote computer:
PS C:\> [System.Net.Dns]::GetHostByName("notebook01")
Note:
System.Net.DNS class has a few other useful methods using which you can get FDQN and IP address details.
Refer to http://msdn.microsoft.com/en-us/library/system.net.dns.aspx for more details.
PS C:\> [System.Net.Dns] | Get-Member -Static