Implement your own extension of DataGridViewTextBoxCell and override Paint method like this:
class MyDataGridViewTextBoxCell : DataGridViewTextBoxCell
{
protected override void Paint(Graphics graphics, Rectangle clipBounds, Rectangle cellBounds, int rowIndex,
DataGridViewElementStates cellState, object value, object formattedValue, string errorText,
DataGridViewCellStyle cellStyle, DataGridViewAdvancedBorderStyle advancedBorderStyle, DataGridViewPaintParts paintParts)
{
if (value != null)
{
if ((bool) value)
{
cellStyle.BackColor = Color.LightGreen;
}
else
{
cellStyle.BackColor = Color.OrangeRed;
}
}
base.Paint(graphics, clipBounds, cellBounds, rowIndex, cellState, value,
formattedValue, errorText, cellStyle, advancedBorderStyle, paintParts);
}
}
Then in the code set CellTemplate property of your column to instance of your class
columns.Add(new DataGridViewTextBoxColumn() {CellTemplate = new MyDataGridViewTextBoxCell()});