here is some code you can play with... hopefully it is 100% compatible with .net i googled a couple functions and it looks like it should work

ok so to check if website is opened try this

Code:
Dim objShell As Object, objIE As Object, objShellWindows As Object
Dim iCount As Integer

Set objShell = CreateObject("Shell.Application")
Set objShellWindows = objShell.Windows

On Error Resume Next
For i = 0 To objShellWindows.Count - 1
  If InStr(1, objIE.locationurl, "https://idp.feide.no") Then
    MsgBox "Found idp.feide.no Website!"
  End If
Next

and for manipulation of document... of Internet Explorer (sorry no luck with chrome it uses WebKit and completely different i guess)

Code:
Dim IE As Object

Set IE = CreateObject("InternetExplorer.Application")

  With IE
    .Silent = True
    .Visible = True
    .Navigate "https://idp.feide.no/simplesaml/module.php/feide/login.php?org=alstahaug.kommune.no&asLen=253&AuthState=_0436c342a257156857910430fffbb853228cef6218%3Ahttps%3A%2F%2Fidp.feide.no%2Fsimplesaml%2Fsaml2%2Fidp%2FSSOService.php%3Fspentityid%3Durn%253Amace%253Afeide.no%253Aservices%253Acom.itslearning%26cookieTime%3D1348966536%26RelayState%3Dhttps%253A%252F%252Fwww.itslearning.com%252Felogin%252Fdefault.aspx&submit=Continue+%C2%BB"
  End With
  
Do While Not IE.locationurl = "https://idp.feide.no/simplesaml/module.php/feide/login.php?org=alstahaug.kommune.no&asLen=253&AuthState=_0436c342a257156857910430fffbb853228cef6218%3Ahttps%3A%2F%2Fidp.feide.no%2Fsimplesaml%2Fsaml2%2Fidp%2FSSOService.php%3Fspentityid%3Durn%253Amace%253Afeide.no%253Aservices%253Acom.itslearning%26cookieTime%3D1348966536%26RelayState%3Dhttps%253A%252F%252Fwww.itslearning.com%252Felogin%252Fdefault.aspx&submit=Continue+%C2%BB"
  DoEvents
Loop

Do While IE.readystate <> 4
  DoEvents
Loop
'Start Using Document
  IE.document.Forms.f.username.Value = "Example For You"
  IE.document.Forms.f.password.Value = "MyPasswordHere"
  
  'This (below) is the Login Button (to click on the button)... remove the ' to allow click on the button
  'IE.document.Forms.f.childNodes.Item(1).childNodes.Item(5).childNodes.Item(10).Click
so add one of those to a button click or form load try and play around with that i hope it will work for you it does for me... let me know if you need more help