Is Child Education free?
Yes — entirely. Child Education is GPL-licensed and hosted on WordPress.org. There is no Pro version of this theme, no licence key and no domain limit.
My homepage shows blog posts instead of the designed layout
The homepage is a page template. Create a page, set its template to Full Width, then point Settings → Reading at it. See Getting Started.
The homepage sections are empty
They are driven by the Customizer, not by page content. Open Appearance → Customize and fill in the Front Page sections. A section with an empty title is hidden by design.
Can I use it on a commercial site?
Yes. The GPL places no restriction on commercial use, and you may modify it freely.
Does it work with page builders?
Use the Full Width page template for builder-made pages so the sidebar does not constrain the layout.
Is it translation ready?
Yes. The text domain is child-education and a .pot file ships in /languages/.
Where did the “Child Education Pro” admin page go?
It was removed in 1.3. It advertised a product that no longer exists and pointed at a domain being retired, so it was taken out rather than left to rot.