DNS Group policy

DHCP is the way to do that.

There is not a GPO which changes all of the client's IP address information.

Use a log on Script like this on
On Error Resume Next

strComputer = "."
strOldDNSServer = "192.168.1.3"
strNewDNSServer = "192.168.2.5"
Set objWMIService = GetObject("winmgmts:" _
& "{impersonationLevel=impersonate}!\\" & strComputer & "\root\cimv2")
Set colNicConfigs = objWMIService.ExecQuery _
("SELECT * FROM Win32_NetworkAdapterConfiguration WHERE IPEnabled = True")
For Each objNicConfig In colNicConfigs
arrDNSServerSearchOrder = objNicConfig.DNSServerSearchOrder
If Not IsNull(objNicConfig.DNSServerSearchOrder) Then
For Each strDNSServer In objNicConfig.DNSServerSearchOrder
Next
End If
blnFound = 0
For i = 0 to UBound(arrDNSServerSearchOrder)
If arrDNSServerSearchOrder(i) = strOldDNSServer Then
arrDNSServerSearchOrder(i) = strNewDNSServer
blnFound = 1
End If
Next
If blnFound Then
retSetDNS = objNicConfig.SetDNSServerSearchOrder(arrDNSServerSearchOrder)
If retSetDNS = 0 Then
Else
WScript.Echo " Unable to change DNS server search order."
End If
Else
End If
Next

Set colNicConfigs = objWMIService.ExecQuery _
("SELECT * FROM Win32_NetworkAdapterConfiguration WHERE IPEnabled = True")

For Each objNicConfig In colNicConfigs
WScript.Echo VbCrLf & " Network Adapter " & objNicConfig.Index
WScript.Echo " DNS Server Search Order - After:"
If Not IsNull(objNicConfig.DNSServerSearchOrder) Then
For Each strDNSServer In objNicConfig.DNSServerSearchOrder
WScript.Echo " " & strDNSServer
Next
End If
Next

Configyre the DNS in The DHCP. By default if any one gets the I.P from DHCP he will also get the DNS server.