How to get last login and logout time of current user by using VB.NET or C#

Take a look: Query AD and get LastLogonTimeStamp[^]

Dim SearchContext As New PrincipalContext(System.DirectoryServices.AccountManagement.ContextType.Domain, <DomainName>)
 Dim ADUser As New UserPrincipal(SearchContext)
 Dim ADSearcher As New PrincipalSearcher()
 Dim LastLogonDateTimeUTC As DateTime

 ADUser.Name = "*"
 ADSearcher.QueryFilter = ADUser
 Dim SearchResult As PrincipalSearchResult(Of Principal) = ADSearcher.FindAll()
 For Each User As UserPrincipal In SearchResult
  Console.WriteLine("Name: " & User.Name)
  If User.LastLogon.HasValue Then
   LastLogonDateTimeUTC = User.LastLogon
   Console.WriteLine("Last Logon: " & LastLogonDateTimeUTC.ToLocalTime)
  End If
 Next User

If you're talking about Windows logins and logouts, this is going to be much harder than you think.

A login occurs whenever a user either logs into Windows or uses a shared resource that requires authentication, like mapping a drive to a share, opening up a UNC, or printing something to a Windows-hosted shared printer. These can be authenticated by any domain controller on the network, depending on circumstances.

Windows, by default, doesn't track logouts, unless you look at the security log on the workstation the user logged out of. There is no central repository that tracks logouts.