Add Type member to Exceptions containing type of exception for Get-Error (#11076)

src/System.Management.Automation/FormatAndOutput/DefaultFormatters/PowerShellCore_format_ps1xml.cs

@@ -783,6 +783,11 @@ namespace System.Management.Automation.Runspaces
                                     'System.Management.Automation.InvocationInfo'
                                 )
 
+                                # if object is an Exception, add an ExceptionType property
+                                if ($obj -is [Exception]) {
+                                    $obj | Add-Member -NotePropertyName Type -NotePropertyValue $obj.GetType().FullName -ErrorAction Ignore
+                                }
+
                                 # first find the longest property so we can indent properly
                                 $propLength = 0
                                 foreach ($prop in $obj.PSObject.Properties) {

test/powershell/Modules/Microsoft.PowerShell.Utility/Get-Error.Tests.ps1

@@ -105,4 +105,24 @@ Describe 'Get-Error tests' -Tag CI {
 
         $Error[0].pstypenames | Should -Be System.Management.Automation.ErrorRecord, System.Object
     }
+
+    It 'Get-Error adds ExceptionType for Exceptions' {
+        try {
+            [System.Net.DNS]::GetHostByName((New-Guid))
+        }
+        catch {
+        }
+
+        $out = Get-Error | Out-String
+        $out | Should -BeLikeExactly '*Type*'
+
+        if ($IsWindows) {
+            $expectedExceptionType = "System.Management.Automation.ParentContainsErrorRecordException"
+        }
+        else {
+            $expectedExceptionType = "System.Net.Internals.SocketExceptionFactory+ExtendedSocketException"
+        }
+
+        $out | Should -BeLikeExactly "*$expectedExceptionType*"
+    }
 }