http://archives.cnn.com/TRANSCRIPTS/0101/06/se.04.html
IIRC, it was comical. Along the lines of:
“Are there any objections?
I OBJECT! -insert pretentious speech here-
Is this objection written and signed by a representative and a senator?
THIS OBJECTIONS IS WRITTEN AND IS SIGNED BY A REPRESENTATIVE.
Then we can't accept it. So are there any objections?
I OBJECT! -insert pretentious speech here-
-Repeat 16 times-”
There's probably video on YouTube on the pages that will explain to you how GWB stole the 2000 election.
Gore asked for objections multiple times in that transcript, but only when he received the votes from the individual states.
But at first look he does not appear to have asked for any objections at the end of the proceeding before announcing any totals.
I cannot seem to root up the transcript from the 2009 session where 2008 elections results were tallied, but it would be interesting to compare the full transcripts side by side.