[c#] C# refresh DataGridView when updating or inserted on another form

putting a quick example, should be a sufficient starting point

Code in Form A

public event EventHandler<EventArgs> RowAdded;

private void btnRowAdded_Click(object sender, EventArgs e)
{
     // insert data
     // if successful raise event
     OnRowAddedEvent();
}

private void OnRowAddedEvent()
{
     var listener = RowAdded;
     if (listener != null)
         listener(this, EventArgs.Empty);
}

Code in Form B

private void button1_Click(object sender, EventArgs e)
{
     var frm = new Form2();
     frm.RowAdded += new EventHandler<EventArgs>(frm_RowAdded);
     frm.Show();
}

void frm_RowAdded(object sender, EventArgs e)
{
     // retrieve data again
}

You can even consider creating your own EventArgs class that can contain the newly added data. You can then use this to directly add the data to a new row in DatagridView