There are a lot of choices out there to do this. I only have experience working with PHP and Ajax, so that would be my recommendation. I know you said framework but you could with some effort and elbow grease do this task with PHP and Ajax.
Make a php function that grabs data from the mysql cell you need. Then on your web page create a javascript function that does an ajax call to your php function every few seconds.
Try looking up PHP Ajax tutorial on youtube, I’m sure you will find at least a few helpful videos.