Here's something to try:
1) Open your document
2) In the "Window" menu, choose "New Window for " - this will create a new tab in LayOut that displays the same document.
3) Right-click on the new tab, and choose "New Vertical Tab Group" or "New Horizontal Tab Group" from the context menu. You will now have two windows into the same document, each of which can display one page.
One warning with this approach - LayOut doesn't really handle this 100% correctly, so you will notice some graphical oddities. For example, if you select something in one window, you may see it selected in other windows as well.