Creating an Optional out of the return value of a method seems a bit awkward. Rather let your getObjectOrNullIfNotAvailable() method return an Optional in the first place. Then use the map operator to convert it in to a string. Here's how it looks.
Optional<Object> oa = someOptionalReturningMethod();
String value = oa.map(Object::toString).orElse(null);
For some reason if you can't change the return value of the method to an Optional, just leave the imperative solution using the ternary operator. Nothing wrong with that.
String value = a==null ? null : a.toString();