Assuming Form2 is the form you wish to show and you are in Form1, you could do this:
public partial class Form1 : Form
{
...
public void ShowForm2()
{
MySqlConnection connection = myConnection.GetConnection();
if (connection != null)
{
Form2 frm2 = new Form2();
frm2.Show();
}
}
...
}
Note - I am assuming you haven't posted all of your "myConnection" class and so didn't verify that. But this is how you show another form to the user