If you have never been to a book signing it is a very interesting experience. I will admit I find that readers have more to gain from it than those who do not read, but I would never recommend someone not attend. The only time I would say it is not as exciting is when the author does not talk.
Sometimes they will read excerpts from the book(s) they are promoting with the tour, sometimes they will sit and tell stories; most of the time they will have a question and answer session. There are times, however when the appearance is only a signing and you walk into the location and get in line and wait to have your book(s) signed and then you leave.
Some authors travel alone, some with a publisher. Some are very nice, others view the line behind you as daunting and prefer to keep things moving. Some allow for pictures to be taken with them while you get your book signed, some do not. You almost always have the option to get your book personalized (though I only get mine "flat signed", signature only).
The majority of the questions center around the following examples: When is the next book coming out? What is your next one about? Will this or any be optioned for a movie? Will you ever do a cross over novel with another writer? Where do you get your inspiration for these books? Is the main character modeled after someone you know? How did you get into writing? How long does it take for you to write a book? Do you know what how each book will end the minute you start writing it?
When you are having a book signed, the page on which the author will place the signature is the actual title page of the book. You will always know the title page from the rest as on its back there is the copyright information. A trick of the trade is to fold the inside flap of the dust jacket between the pages to mark the title page, thus making it easier for the author.
If you happen to bring copies of the author's work with you, you will typically be categorized as a collector. This flag will do nothing more than cost you a little time. I have heard the rule stating if you have more than 6 books, you are a collector; other times it goes unsaid on a "you know who you are" basis. Being a collector at a signing almost always will mean they as you wait until the end. You could be the first one to show up for the event, but they will still ask you be one of the last to leave. The justification is that somehow it is worse to be behind one person with ten books than ten people with one book each. How? I am not sure. The line will form without you in it. Many people will have their book signed while you wait. Eventually you will be greenlighted to join the queue. This can work to your advantage though as you then have the author in a more intimate environment as most of the other patrons have gone. Only one time have I encountered an author who has stated they will not sign more than one book other than their current release. They will sign as many copies of the new book as you have, but only one book besides.
You can find out about author appearances from a variety of sources. The location hosting the appearance will often have a flyer listing upcoming visits and/or details on their website. There may only be signs posted stating the author, time and date of the appearance. My personal favorite method is by simply visiting the author's personal website (if it exists); they generally have a page devoted to their tour schedule. The only downfall to using this angle exclusively is that you may miss out on authors you have never seen before.
Then of course there is the rest of the internet on which you may find people who attend these appearances regularly and they can be a great resource if you are looking for information (see also: e-mail me). I will try to begin posting my favorite authors' tour schedules in case you are interested, but if you have any questions, let me know. In turn, if you have any info you think I may find interesting either leave a comment or follow the same e-mail link above.
I will also try and recap each appearance I attend and fill you in on any details you missed. I have created a new category to the Books blog for Author Appearances where I will contain all of the information discussed on this topic.
I love seeing authors speak and have the opportunity to pick their brains. To date, the furthest I have traveled for an author appearance is 2 hours, though I imagine that personal record will be broken.