Download Files from a site by searching in it - C#

So, I want to code a windows application that searches for a specific music in a website and shows the result of found musics to the user (Without showing the webpage), for example as some texts. So I have decided to ask you how will this be in the following website:

https://online.freemusicdownloads.world/results?search=Hello+-+Adele

So for example in this place we get the name of the music and the singer from the users and search it in this website like this. The result will be like this:

After searching

Then I wanna know how I can show these results to the user as (text for example) and ask whether they want the 'MP3' or the 'MP4' and have the chosen one clicked in the website. Actually after selecting the format a page like this will pop up:

After selecting the format

Then I want to have "Download To Local" button clicked and download the file for the user.

Guys, I don't have any problems with the C# part, my main problem is the way to communicate with the website and show the data to the user by getting them from the website. I know how to download things and show things in C# etc.... I only wanna know about the website communication. Thanks everybody. I will be happy to see your answers.