//This is extremely ugly. And your code:
if(checkmove(row, column))
        {Board[row][column] = place;
            if (player == p1)
            turn = false;

            if (player == p2)
            turn = true;
        }

//It should look like this: (keep in mind I don't know Java.
if(checkmove(row,column))   {
    Board[row][column]=place;
    if (player == p1) {
        turn = false;
    }
    if (player == p2) {
        turn = true;
    }
}

//Also, a if-elseif statement would be better than two if statements.

// This is how I think it should be done:

if(checkmove(row, column))
        {Board[row][column] = place;
            if (player == p1)
            turn = false;
            //yea bruh
            if (player == p2)
            turn = true;
        }