On a GoDaddy WordPress site, there is an option to export the contents of the entire site into an XML file. This includes everything.
The same file can be imported into a WordPress site created on https://wordpress.com.
Although everything gets inported into the wordpress.com site, the posts that use images do not display images.
To overcome this, download all images from the GoDaddy WordPress site using FTP and modify the posts on the wordpress.com site. Upload the images in the right places in the post.