I am assuming that the webservice is called because something happened (button clicked, viewDidLoad/viewDidAppear). If this is the case, passing a reference of the UIViewController to the webservice class is a perfect valid option. Keep in mind that for this relationship you should create a protocol, so on your webservice class you have something like this:
id<ViewControllerResponseProtocol> referenceToViewController;
This ViewControllerResponseProtocolwould define a method like this:
-(void)responseFromWebservice:(NSDictionary*)myDictionary;
So when the webservice class has build the NSDictionary you can the above method from the referenceToViewController:
[referenceToViewController responseFromWebservice:myDictionary];
If there isn't any kind of relationship between both, you use could NSNotificationCenter for it.
P.S: The solution of skram is perfectly valid if you already have the NSDictionary from the webservice on the initial UIViewController and now you want to pass it to a new UIViewController. Although I don't think that's what you want.