Quote:
when I click the button, I don't know how to call it through a MySQL query.
Why would you need to? If you have the relevant URL in your DGV row already (and it looks like you do) just use the RowIndex and the appropriate column (4, probably from your code though it's a very bad idea to use numeric indexes here) to get the value from the DGV directly and then use Process.Start to open the browser by passing it the text URL as the command.
What part of this is giving you difficulties?