How to use my SSD after a complete re-install of WIndows 10?

Long story short my HDD died and I had to re-install Windows 10 on my lenovo Y580 laptop. It's an older model (3 years) and isn't supported for Windows 10. Now my SSD is not recognized, nor being used I presume. It's a small drive, 32 GB used for loading the OS quickly.

So how can I use my drive again? Not sure how this all works, the OS came installed when I got the laptop.

What do you mean isn't supported for Windows 10? If the laptop came with windows 10 it should support Windows 10.