DataGridViewCheckBoxColumn Checked

It can be done, of course. First, you could control each time a new row is added to DataGridView by handling the event RowsAdded and then set the value of the cell of type DataGridViewCheckBoxColumn in this way:

private void dataGridView1_RowsAdded(object sender, DataGridViewRowsAddedEventArgs e)
{
    // e.RowIndex proporciona el índice de la fila que se acaba de añadir
    dataGridView1.Rows[e.RowIndex].Cells["NombreDeTuCeldaCheckBox"].Value = true;
}

But beware, if your DataGridView had previous data, it would save the amount of existing records in a variable and check that the new index was greater than that amount, or otherwise you would mark all the CheckBoxes.