The story HTML file generated by Twine is a self contained single page web-application, and as I briefly mentioned in my earlier comment you will need to use an iframe HTML element to embed it within a Blogger page.
I don't have a Blogger account so I can't give you the exact instuctions on how to achieve the outcome that you want, but the basic steps are as follows:
1. Upload the story HTML file to your Blogger account, and then determine the URL to the newly uploaded HTML file.
2. Added an iframe HTML element to your Blogger page.
3. Edit that iframe HTML element so that it's src property references the URL from point 1.
If Blogger doesn't allow you to upload HTML files to it then you will need to host the story HTML file on a different web-server, and then use that URL in point 3 instead.