Accessing unlicensed streamed content, such as the Myanmar movies on the Shwe page, is generally legal. What is illegal is to download even part of a file or to show the content as a "public performance."
For the site owners, however, uploading the unlicensed streamed content is illegal. Some sites try to avoid this by hosting their content elsewhere, and then acting as a search engine for links to said content.
All in all, it generally is legal for the user to watch the streamed content, whether it's on Shwe or any other site, and it is illegal for the site to upload it.