To share your document, open the document you have been working on and look in the upper right of the document and click and hold down the "Share" button. Choose "Share with others".
At the next screen, type in the email address of a person you'd like to share the "Doc" with. Select the radio button "collaborators". To invite more than one collaborator or viewer to your doc, simply put a common after each address (with no space) and add another email address if you want. Then click "Invite collaborators".
You'll then get a screen where you can type a message (or not). Now click the "Send" button. They'll get an email from you. But you don't have to actually send them the email. Once you click "Invite collaborators" you'll see their email addresses on the right side of your screen.