Q:

tapGesture hyperLink swift

I have an image and I want it to go to my website when anyone hit the picture
I used tapGesture to convert the image to a big button , but what I don't know how to do it , is that I want the app to take the user to my website when the user hit the image

A:

That depends a bit on where you want the link to open. The two standard approaches are to either open the URL in a UIWebView you provide inside the app, or to tell the system to open the link in the mobile Safari browser (which will send your app to the background). 
To me it sounds like it this second behaviour you want. You can achieve it by telling the UIApplication to open the URL, like so:
@IBAction func linkTapped(sender:UITapGestureRecognizer) {

   if let url = NSURL(string: "http://stackoverflow.com/") {
       UIApplication.sharedApplication().openURL(url)
   }
}

Edit:
Some more info on how to set this up in the way you described: in your viewDidLoad, set up your gesture recognizer like this: 
let tapGestureRecognizer = UITapGestureRecognizer(target: self, action: "linkTapped:")
self.yourImageView.addGestureRecognizer(tapGestureRecognizer)
self.yourImageView.userInteractionEnabled = true 

Make sure the IBOutlet for yourImageView is connected correctly. Then simply add the code given in the original answer as a method to the same class containing your viewDidLoad method. If the gesture recognizer fires, it should now execute the code in the linkTapped: method and open the URL.
Edit 2:
And because it actually fits in ~10 lines of code, here's a minimal view controller class as an example implementation.
class ViewController: UIViewController {

    @IBOutlet var myImageView: UIImageView! //Check if connected correctly!

    override func viewDidLoad() {
        super.viewDidLoad()

        let tapGestureRecognizer = UITapGestureRecognizer(target: self, action: "linkTapped:")
        myImageView.addGestureRecognizer(tapGestureRecognizer)
        myImageView.userInteractionEnabled = true
    }

    func linkTapped(sender:UITapGestureRecognizer) {

        if let url = NSURL(string: "http://stackoverflow.com/") {
            UIApplication.sharedApplication().openURL(url)
        }
    }
}

