Well, f7 is only defended by the king, and against a beginner, they may fall to 4 move mate or something...
Black's weakest square: the pawn on f7
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Question contains false assumption: black is trying to find his best move too and as long as he develops and castles it won't be much of a liability. If your only goal in the opening is attack f7 then you have a case of king's gambit hope chess.
Ah 
The King's Bishops pawn on both sides (f2 and f7) sit on the weakest squares of the board from the beginning of the game, until those squares are protected by something other than their respective Kings. It isn't the square, it's what is or is not defending it that makes it weak.
The same is true for any square.
The pawn is a square?
How weak a square is depends on which pieces defend it. A lower valued piece strengthens a square much more than a higher valued piece.
In the beginning, only one piece defends f7, and it is the most valuable one.
@ FancyKnight:
Precisely! You said it better than I did.
f7 really is the weakest square but White doesn't always have the time to attack it. There are some exceptions though.
For example after 1.e4 e5 2.Nf3 d6 3.d4 Nd7 4.Bc4 Nf6 5.Ng5! Black has no good way to stop the attack other than to play 5...d5 and give up a pawn. He won't get any compensation either.
Sometimes Black can make things worse. If he tries 4...h6 here which doesn't develop a piece but stops Ng5, he can be surprised by 5.Bxf7! which, believe it or not, wins at least a pawn or the game in every variation by attacks w/ the queen, bishop on c4 and sometimes a knight.
But normally Black doesn't develop so passively and attacks on f7 don't win so easily..
After 1.e4 e5 2.Nf3 Nc6 3.Bc4 Nf6 4.Ng5 Black can play 4...d5! here. In this situation Black can give up a pawn but he gains compensation by having active pieces.
Even though White is unlikely to win on f7 it can often become a target to gain tempos.
After 1.e4 e5 2.Nf3 Nc6 3.d4 exd4 4.c3 dxc3 5.Nxc3 (Goring Gambit) Nf6 6.Bc4 d6 7.Qb3 White attacks f7 to help develop the queen.
Another interesting one is 1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.b4 (Evans Gambit) Bb6 5.b5 Na5 6.Nxe5 Nh6. White won a pawn and got an attack on f7. But Black's pieces are very active and there are ideas of Nxc4 and Bd4 in the air. Here Black also has compensation but a pawn is a pawn.
Can someone explain to me why in general that THIS square, why it's so weak, and why you should always be attacking it always on the first oppurtunity?? Should you always be attacking it? What's the goal here........I'm pretty sure it has something to do with getting your opponent checkmated. Is there anything else?
Thanks.