Alright, this is the second edit of this post now.
Initially, I got to step 7 of the installation process successfully (Install Core) and then was presented with tons of errors.
I read over the debug info and found that Gallery 2 wasn't finding the tables it needed in my database.
So I checked my database, and found that sure enough, the tables hadn't been created, even though the Install said they had been.
As a test, I exported the structure from the gallery on my testing server and tried to import it on the webserver, to no avail. That, i know, is something I'll have to talk to my host about.
The point of this post is now to let y'all know that the Install script is letting the user continue past the table creation phase even if the tables aren't created.
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I'm guessing you're using one of the transactional database types (helps if you give us more information about your system so that we don't have to guess )
Mindless and I just submitted some fixes that should resolve these problems. I did a couple of complete installs and upgrades using Postgres and all appears to be working properly now. Wait a few hours and grab the latest code (make sure you have rev 1.78 of modules/core/classes/GalleryItem.class) and the problem should be fixed.