UIImagePickerで画像を取得した後に、新しいViewで画像を表示させます。
以下、FirstViewControllerでUIImagePickerで画像を取得し、SecondViewControllerで画像を表示させます。

FirstViewController.h

//
//    FirstViewController.h
//

#import <UIKit/UIKit.h>

@interface FirstViewController : UIViewController<UIImagePickerControllerDelegate, UINavigationControllerDelegate>
@end

UIImagePickerを使用するためのdelegate宣言として、UIImagePickerControllerDelegateとUINavigationControllerDelegateを宣言します。

FirstViewController.m

//
//    SecondViewController.m
//
#import "FirstViewController.h"
#import "SecondViewController.h"

@interface FirstViewController ()

@end


@implementation FirstViewController

- (void)viewDidLoad
{
    [super viewDidLoad];
}

- (void)didReceiveMemoryWarning
{
    [super didReceiveMemoryWarning];
}

- (IBAction)touchSelectImage:(id)sender {
        UIImagePickerController *imagePickerVC = [[UIImagePickerController alloc] init];
        imagePickerVC.sourceType = UIImagePickerControllerSourceTypePhotoLibrary;
        imagePickerVC.delegate = self;
        [self presentViewController:imagePickerVC animated:YES completion:nil];
}

-(void)imagePickerController:(UIImagePickerController *)picker didFinishPickingMediaWithInfo:(NSDictionary *)info
{
    [picker dismissViewControllerAnimated:YES completion:nil];
    UIImage *image = [info objectForKey:UIImagePickerControllerEditedImage];
    SecondViewController *secondVC = [[SecondViewController alloc] initWithNibName:@"SecondViewController" bundle:nil];
    secondVC.selectImage = image;
    [self.view addSubview:secondVC.self.view];
}

didFinishPickingMediaWithInfoで、取得した画像オブジェクト（UIImagePickerControllerEditedImage）を、secondViewで定義するUIImageに代入します。
その後、[self.view addSubview:secondVC.self.view]で、secondVCを表示します。

SecondViewController.h

//
//    SecondViewController.h
//

#import <UIKit/UIKit.h>

@interface SecondViewController : UIViewController

@property (weak, nonatomic) IBOutlet UIImage *selectImage;
@property (weak, nonatomic) IBOutlet UIImageView *selectImageView;

@end

FirstViewControllerから取得してくるUIImageをselectImageとして定義します。

SecondViewController.m

//
//    SecondViewController.m
//

#import "SecondViewController.h"

@interface SecondViewController ()

@end

@implementation SecondViewController
{
    __weak IBOutlet UIImage *selectImage;
}

@synthesize selectImage, 
    selectImageView;

- (void)viewDidLoad
{
    [super viewDidLoad];
    selectImageView.image = selectImage;
}

- (void)didReceiveMemoryWarning
{
    [super didReceiveMemoryWarning];
}
@end

@synthsizeで@propartyで宣言した変数を宣言するのを忘れずに。