Default Sharing in iOS 7
What you are looking for is the UIActivityViewController.
Since you asked a general question I can't do more than give you a link to the documentation
In addition to the accepted answer, a small piece of example code
- (void)shareText:(NSString *)text andImage:(UIImage *)image andUrl:(NSURL *)url { NSMutableArray *sharingItems = [NSMutableArray new]; if (text) { [sharingItems addObject:text]; } if (image) { [sharingItems addObject:image]; } if (url) { [sharingItems addObject:url]; } UIActivityViewController *activityController = [[UIActivityViewController alloc] initWithActivityItems:sharingItems applicationActivities:nil]; [self presentViewController:activityController animated:YES completion:nil]; }Call shareText, leave the things that you don't want to share at nil.
[self shareText:@"Hello world" andImage:nil andUrl:nil];
The Controller in the image you posted is the UIActivitiyViewController this is a link to the class documentation