It might, it might not.
32GB is probably a very small, cheap SSD.
Even a cheap, lower performance SSD is likely going to be faster/snappier than any mechanical HDD.
BUT, 32GB is really small. As I mentioned, you'd need to either clone the SSD to the HDD, or just clean install the OS onto the HDD.
Given 32GB of storage, there's probably not a lot of data work cloning. I'd backup what you can, install the OS to the HDD and format the SSD.
You can create Windows 10 installation media here:
https://www.microsoft.com/en-ca/software-download/windows10
You will need a 4+GB USB flash drive though.