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You can use the Media gallery web part to display content of a media library on the live site.
Open the Pages application.
Choose the page on which you want to place the web part.
Switch to the Design mode.
Place the Media gallery web part to a content area of your choice. The Web part properties dialog box opens.
Under Content, specify the Media library to which you want to be able to upload files.
Under Upload settings turn the check-box on for the following properties:
Note that you Allow upload thumbnail works only when Allow upload is enabled as well. The Thumbnail that you upload is always attached to the file that you upload with it.
Now that you inserted the Media library web part onto your page, visitors can use it to view the content of the media library.
Note that whenever you resize an image that you inserted using a web part, the link to that image changes. Refer to URLs of resized images for more information.