Found the answer to my question with help from user sms who commented above. This php pulls the data from the first table and encodes it in the JSON format.
<?php
include('simple_html_dom.php');
header('Content-Type: application/json');
$html = file_get_html('http://www.1011now.com/weather/closings');
$row_count=0;
$json = array();
// Find all links
$table = $html->find('table', 0);
foreach($table->find('tr') as $row) {
$name = $row->find('td',0)->innertext;
$status = $row->find('td',1)->innertext;
$json[] = [ 'name' => strip_tags($name), 'status' => strip_tags($status)];
}
$options = array(
'http' => array(
'method' => 'POST',
'content' => json_encode(array('Closings' =>$json)),
'header'=> "Content-Type: application/json
" .
"Accept: application/json
"
)
);
$context = stream_context_create( $options );
$result = file_get_contents( $url, false, $context );
$response = json_decode( $result );
echo json_encode(array('Closings' =>$json), JSON_PRETTY_PRINT);
?>