Views REST Endpoint With paragraph field
I have solved by using jQuery.parseHTML() or you can use Javascript DOMParser

Something like this

$.ajax({
    type: 'GET',
    url: drupalSettings.path.baseUrl + 'REST_VIEW_PATH/' + nid,
    success: function (data) {
        {
            var paragraphField = data[0]['FIELD_NAME'];
            $.each(paragraphField, function (index, item) {
                var fieldItem = $.parseHTML(item.FIELD_ID_IN_PARAGRAPH);
                console.log(fieldItem[0]['innerText']);
            });
        }
    }
});