Something like this:
var div = document.getElementById("result");_x000D_
_x000D_
var str = "{'a':1}";_x000D_
str = str.replace(/\'/g, '"');_x000D_
var parsed = JSON.parse(str);_x000D_
console.log(parsed);_x000D_
div.innerText = parsed.a;
_x000D_
<div id="result"></div>
_x000D_