If you're using Microsoft's Sway and you want to embed a Google Doc, there's just a couple easy steps to do it.
Create a new Sway and give it a title. I've called this one Embedding a Google Doc.
Next, click the plus sign to add more content. Choose the Media group then click the Embed option.
Sway is now waiting for the embed code. You need to get the code from your Google Doc by going to the document's File menu and choosing Publish to the web. Once in the Publish to the web page, you need to click the blue Publish button one time to open up the Doc. After you have clicked Publish, you can highlight the embed code and copy it to your clipboard.
Go back to your Microsoft Sway. Go to the box waiting for your input, and paste the code.
You've embedded that Google Doc. This is live. If you were to update this in Docs, this document that's showing here would be updated. You can also interact with this document to a certain extent with the icon lower right hand corner. You can download it or print it.