Good timing. We will be releasing our Get It bookmarklet in a week or so with version 1.2. This will allow you to save any article you are looking at in your browser (or iPad/phone) directly to the training page by just clicking on a bookmark (like the WordPress Press This tool). It will also capture the full text and images just like MyCurator's normal processing and have that available when you curate the post.
Until then, you can go to the Training Posts menu item in the Dashboard (usually up near the Comments item). Just Add new and you can enter the URL as well as any other text and it will save to the Training page. Make sure you choose a Topic and Relevance type of good, bad or not sure in the widgets to the right where the Category/Tags normally are.