Terminal 2 only handles check ins, terminal 2 has no gates. All gates are still at terminal 1, passengers who check in at terminal 2 merely take the people mover to go back to terminal 1.
In your case you will not even visit terminal 2 at all as you have OLCIed for your UO flight and you merely pass from [terminal 1] arrival gates to departure gates. QRC3288 has recently written a summary on how to do this for a similar morning connection from SIN
http://www.flyertalk.com/forum/26803215-post8.html .