Describe how general Grant conducted the Confederate surrender?

With magnanimity.

At Appomattox, both commanders sensed the importance of the occasion, and it brought out the noble side in both of them.

Grant offered generous terms, allowing the Confederate troops to hand in their weapons and go home, with no jailings or persecution.

Lee ordered his men to confirm to this, and not take to the hills and carry on guerrilla operations, as some of his officers were urging.