What does it mean by "going to a closing?"

[Shep Stephens]

So, after I put a property under contract and find a buyer to assign it to, I know that there's a closing. But how does the whole process go? After all the papers are signed and I fax them to my closing agent, does he tell us what day to "go to the closing?" Are we all supposed to meet up at the same time at the office?
And for a double close, I know that I'm supposed to meet with the end buyer first, so do I tell the buyer to meet me at, let's say 1:00, finish the close, at 1:30, and then tell the seller to meet me at 2:00? And if I do a double close, do both the buyer and I pay each of our own closing costs? Or is there only one closing cost that the end buyer pays?
HELP!!!