My goodness, maybe I'm a bit drunk when I typed that. Yeah, there is no CPU-Z on Linux but there is an alternative called CPU-G. Don't know why I assume OP is also running a Windows OS, my bad.
But there literally is not a single reason to download any software when there are built-in command line tools to retrieve the information you are looking for.
A single command is all OP has to enter.
I didn't even know that 32 bit CPU's are still a thing. I can't imagine OP is using a 32bit only CPU.
There is no 32-bit only CPU that has two cores in it, every multi-core processor since Intel Core 2 Duo and AMD Athlon 64 X2 had 64-bit support in them.
It’s likely OP’s computer has low system specs and he thought that a 32-bit Linux distro would be easier on it (because that’s how it works in Windows) but as I explained above, 64-bit Linux runs well on it.