Most things will be 32-bit - it's normal. There is a 64-bit version of Chrome available but I'm not sure what difference it really makes for a web browser apart from using more memory. Some games also have 64-bit support; they should make use of it automatically on your system.
It's a fallacy perpetuated mainly by computer salesmen (and school ICT textbooks & teachers, at least in the UK) that "64-bit PCs are twice as fast as 32-bit ones because they process twice as much data at once".
The main benefit of 64-bit mode is the ability to access more memory at one time. 32-bit code can only "see" a maximum of 4GB at one time, kind of like looking through a small window, and has to move the "window" around to access other memory. 64-bit code has a much larger "window" to look through. Programs that don't need to access 4GB+ of RAM at one time don't really benefit from this. It used to be mainly relevant to big database servers and scientific computing applications but modern games are beginning to exploit it to allow much larger and more detailed worlds.
There are some performance benefits to be had from an AMD64 (x64) processor operating in 64-bit mode but they're mostly down to extra features that are only available to 64-bit code rather than the "bitness" (word length) itself.
Conversely, 64-bit code tends to use more memory which can harm performance in some cases (there's a special "hybrid" mode called "x32" that has been developed in the Linux world to mitigate this by allowing the extra features to be used from "pseudo-32-bit" code that doesn't need to access large amounts of memory).
[Dammit, I've been on the phone for ages. There'll be about a billion other replies by now. Oh well.]