Some apps have "pages that turn over" such as Adobe Digital Editions, or newsletter sites such as Issuu.
I don't know what PDF reader you use but mine, PDF-XChange Editor, has some viewing options in the status bar at the foot of the screen, one of which shows the document page by page continuously.
Returning to the title of your thread, I tried a few free publishing sites over tthe years, and a couple of low-priced paid ones. All had limitations and shortcomings, and they concentrated on trying to get you to pay up, or pay more.
Then I discovered the completely free Wordpress.com (Wordpress.org is paid). There is a bit of a learning curve but there is plenty of help to be found online, and I get on fine with now, it's like riding a bicycle. I have three websites on it - one is my 'signature' below, one is a transcribed journal of my adventure in Europe when I was 20, one is a brief history of my family name - and I'd like to think they'll be around at no cost for long after I'm not on this earth any more.