It seems like you are asking about downloading Annotations?
If so, there are a variety of threads on the forum that address how to get this info. You can check out:
https://forum.inaturalist.org/t/download-observations-with-flowering-phenology-fails-field-is-empty/35515
https://forum.inaturalist.org/t/downloading-annotations/2200
https://forum.inaturalist.org/t/how-do-you-download-with-annotation-life-stage/27373
https://forum.inaturalist.org/t/download-plant-phenology-annotations/6528
General data export thread: https://forum.inaturalist.org/t/data-users-what-are-your-use-cases-and-requests-for-exporting-data/2972