Reading hyperkinks from a website to crawl.

I am designing a Data Scraper in Matlab that can extract all the HTML from a web page. My problem is that the website to load the pages uses a "Load More" button and shows 5 new items each time they press it. Since the Webread command is used in matlab, it only reads the HTML of the page directly, but I'm not sure how to tell the program to read the links that appear after "Load more".

I'm guessing the approach is to simulate the "load more" command and redo the scraping and extract unique urls, but im not completely sure.

Since I am not an expert I have no idea how to access all the links so I kindly ask for your help.