Game with sicilian opening

I was black and it looked like white tried to make me castle kingside then attack me.

I think castling kingside on move 15 was totally fine. In fact, you were better for most of the game. 

6...Qc7 doesn't accomplish much in the position, nothing wrong with it. 6...Nb4 to put pressure on the d3 bishop looks good. e.g. 6...Nb4 7.Bc2 Nxc2+ 8.Qxc2 Nf6

7...Bd6 was a blunder, which luckily your opponent missed. As 8.Bxg7 wins the rook.

11...Na5 looks quite awkward and puts the knight out of the game. d4 was a better square for the knight.

14...Qxf3 wastes less time than Qb8

Your right, 20...f6 isn't the best of moves as it gives white play.  Rd8 or even Qd8 was better.

Instead of 24...Qb7, offering a Queen exchange with Qe8 was better. Also gets your rook in the game. 

Again after 25.Qxe6+, getting the queens of the board with 25...Qf7 26.Ng5 Qxe6 27. Nxe6 was better.

After 26.Ng5 white is pretty much winning. 

I was worried that if I traded queens there, his knight would attack c7 and d6.

Also, I could have survived longer if I had played 32...Qf8.

White mates in 2 !

                   The well known scholars mate is worth remembering !  

I think that black's crammed position proved to be a disadvantage. 

Reguardless of the opening always play to Win the Center !

14.Qf3..Qb8 ? most likely the losing move why concede this important diagonal ? 14.Qf3..QxQ  15.RxQ..O-O 16.g4..a6 you should always if you can try an dislodge any enemy pieces posted deep in your position !  

I think it's more of a so-called "smothered mate".

You're right.

No, I was black