While it was processing, there was a big box telling me what it was doing in the center of the page, and a circle spinning while it was processing; when it finished, there was a check saying processing finished. I looked down on the left side of my computer screen and saw that it had downloaded a new cvs file (no warning or need to click anything to make it download, it just did automatically when it finished processing).
Then, of course, I couldn't figure out what its name was in my download files, so I just searched by today's date and found it. It was named with v1 in the title. (I use excel so it just ended up in my excel files)
Update: the cvs file name was AncestryDNA v1 match data for XXX (user name). It had basic information - name of match, any whether viewed, starred, had a hint and whatever notes I had made.