Ok, until now you have been able to sneak peaks into each others lists. Those list pages show you all their ready and not ready offers, whether they have been enabled for this swap or not. That feature is still there and hasn't been changed much. It'll always exist in basically the form it is now.
Now, you can view the actual trade list that you'll be using once the trading begins. To see it, go to the Swaps homepage:
http://garden.org/apps/swap/
Click on "The ATP Beta "First Swap" Swap" and then at the top, click on "Access the full tradelist for this swap"
It shows you every offer that is currently being offered in this swap, sorted by the plant name. It is separated into pages that you can click to move through.
You will notice at the top that you can restrict your view to certain members. Select the member you want to see, and then click the "Update View" button and now you're seeing just their stuff.
I'll have more features available soon. If anyone wants to offer any feedback on this page, I'd be delighted.