I currently have a AdWords account with Google and want to advertise my website. Is there a specific plan that I have to buy in order for my ads to show up in the yellow sponsored links at the top of the page (I'm pretty sure you've all seen them) or are the ads just randomly generated up there?
The position you're talking about is simply a position one ad. Sometimes they appear right there at the top, and sometimes they appear on the right of the page.
If you go to your adwords account you can actually tell adwords to ONLY show your ad when it appears in spot 1. This will however cost you extra whenever it appears. It will also get you a much, much better CTR.
I advertise a client of mine using adwords and only use position 1 placements, and get a consistent 6-8% ctr.