You should implement SFSafariViewControllerDelegate so that your class is notified when the user hits the Done button on the SafariViewController and you can dismiss it as well.

First declare your class to implement the protocol.

class MyClass: SFSafariViewControllerDelegate {

}

Implement the delegate method to be notified on dismissal.

func safariViewControllerDidFinish(controller: SFSafariViewController) {
    // Dismiss the SafariViewController when done
    controller.dismissViewControllerAnimated(true, completion: nil)
}

Don't forget to set your class as the SafariViewController's delegate.

let safariVC = SFSafariViewController(URL: yourURL)
safariVC.delegate = self

Additional delegate methods you can implement are:

// Called when the initial URL load is complete.
safariViewController(_ controller: SFSafariViewController, didCompleteInitialLoad didLoadSuccessfully: Bool) { }

// Called when the user taps an Action button.
safariViewController(_ controller: SFSafariViewController, activityItemsFor URL: URL, title: String?) -> [UIActivity] { }

You can add items to a user's Reading List in Safari by calling the addItem method on the SSReadingList singleton.

let readingList = SSReadingList.default()
readingList?.addItem(with: yourURL, title: "optional title", previewText: "optional preview text")

The default Reading List can be nil if access to the Reading List is not permitted.

Additionally you can check if the Reading List supports a URL by calling supportsURL.

SSReadingList.default().supportsURL(URL(string: "https://example.com")!)

This will return either true or false indicating if the given URL is supported by Safari Reading List. Use this for example to determine whether to show a button to add a URL to the Reading List.

Don't forget to import the necessary framework first.

import SafariServices
//Objective-C
@import SafariServices;

Instantiate a SafariViewController instance.

let safariVC = SFSafariViewController(URL: URL(string: "your_url")!)
//Objective-C
@import SafariServices;
NSURL *URL = [NSURL URLWithString:[NSString stringWithFormat:@"http://www.google.com"]];
SFSafariViewController *sfvc = [[SFSafariViewController alloc] initWithURL:URL];

Optionally you can also tell SafariViewController to enter reading mode if possible once it's done loading.

let safariVC = SFSafariViewController(URL: URL(string: "your_url")!, entersReaderIfAvailable: true)
//Objective-C
NSURL *URL = [NSURL URLWithString:[NSString stringWithFormat:@"http://www.google.com"]];
SFSafariViewController *sfvc = [[SFSafariViewController alloc] initWithURL:URL entersReaderIfAvailable:YES];

Present the view controller.

present(safariVC, animated: true, completion: nil)
//Objective-C
[self presentViewController:sfvc animated:YES completion:nil];