Printing XmlElement names in PowerShell
You could use the LocalName property instead as you're not using namespaces with your XML:
$xml.Root.ChildNodes | foreach { $_.LocalName }
While manoljlds solution works for getting all element names of children in a parent node, it doesn't help for single elements or when you want to use the element name with the element. I ended up just using Reflection.
$xml.Root.ChildNodes | % { $_.GetType().GetProperty("Name").GetValue($_, $null); }