Typescript is (a superset of) javascript, so you just use JSON.parse
as you would in javascript:
let obj = JSON.parse(jsonString);
Only that in typescript you can have a type to the resulting object:
interface MyObj {
myString: string;
myNumber: number;
}
let obj: MyObj = JSON.parse('{ "myString": "string", "myNumber": 4 }');
console.log(obj.myString);
console.log(obj.myNumber);