An App or OS being 64-bit doesn't mean that they will use more ram, though they often do. But 8GB on 64 is not the same as 4GB on a 32. A 64-bit OS running 32 bit Apps will use similar resources. At least not enough to make any noticable difference.
The real difference between 32 and 64 bit is how much RAM the OS and Apps can address. In Windows, 32 bit can address and use up to 4GB (roughly) and applications up to 2GB. You can have 8GB of RAM in that machine, but it won't make use of it.
A 64-bit OS can address and use much more and 64-bit apps aren't limited to 2GB. It's a noticable improvement for Apps like Photoshop where images can often eat up tons or RAM.