Output a JSON array from your php page like this
$myArr = array("John", "Mary", "Peter", "Sally");
$myJSON = json_encode($myArr);
header('Content-Type: application/json');
echo $myJSON;
In your c# code you then need to deserialize the string returned by DownloadString into a type that matches the format of the JSON data. If your JSON is just an array of strings, then use JsonConvert.DeserializeObject<List<string>>(json)
from the Newtonsoft.Json package. Otherwise you need to replace List with something that matches the Json data, for example a new class with all the same property names and types. In this case
string url = "url";
var json = new WebClient().DownloadString(url);
Response.Write(json);
var myArr = JsonConvert.DeserializeObject<List<string>>(json);
Response.Write(myArr[1]); // will output "Mary"
If you don't have Newtonsoft.Json, this question has some options for obtaining it