Can I view another member's Bookshelf?

Yes. On any Book detail page (click the book title to get there), open the Bookshelves tab to see every member who owns that book. Click a username to see their Profile page and the books they own, with options to show just the books you have in common or just the indexed ones. The Collapse/Expand toggle switches to a view with book covers and more detail.

To see your own Profile, click your username in the top right corner and select Profile. To edit it, use the ‘edit’ link on the ‘About’ bar.