You can do that through judicious configuration of your page styles. But, due to (inconsiderate?) restrictions on some built-in page styles, you must add a custom page style.
Basically, Left Page and Right Page page styles will be used for running pages. You’ll insert fields in these headers for book title and chapter name as explained here.
I assume your chapters always start on a right page. Create a Chapter Start page style with following properties:
- in
Header
tab, ensure Header on is unticked to disable header
- in
Page
tab, set Page layout to Only Right
- in
Organizer
, set Next Style to Left Page
Modify Heading 1 (the paragraph style applied to chapter headings) so that Text Flow
requests a page break Before with page style Chapter Start.
Now your chapter headings (styled Heading 1) automatically force a page break to Chapter Start which has no header and chapter text then alternates between Left Page and Right Page with their headers. If a chapter ends on a right page, Writer will jump to Chapter Start which is constrained to a right page. This is possible only after insertion of a blank page. And a blank page is … well … blank, i.e. displays absolutely nothing, which is what you want.