You can use the RSS feed to display the content from Medium on your website or mobile app.

You can get the RSS feed from medium

https://medium.com/feed/@username

my username is deepakdroid so the URL to get the Medium feed is https://medium.com/feed/@deepakdroid

For more info read the documentation at: https://help.medium.com/hc/en-us/articles/214874118-RSS-feeds