Instagram now gives users the ability to create embed code for a post or profile. The following article by Instagram contains more information on how to create the embed code.
You can also use Juicer to embed an Instagram feed onto a webpage. You can find out more information on Juicer at the following URL - https://www.juicer.io.
Once the embed code is created it can be placed onto a page using the HTML source widget by copying and pasting the embed code into the widget.