Note: This is a developer level article for reference only. We can’t provide support for REST API integrations.
WP Job Manager uses the standard WordPress REST API implementation.
Currently job-listings fields are available via the API in the meta of the listings.
The root is /wp-json/wp/v2/job-listings
Additional documentation can be found via OPTIONS http://HOST.NAME/wp-json/wp/v2/job-listings
Note that application/resume data is not currently available via the REST API.