You can replace the HDD with an SSD if you want but I doubt that it would make a huge improvement to performance as CPU or GPU is typically the bottleneck with our device. The OS is on a separate small SSD contained in the top half of the unit, so you can just replace the HDD, and go to the storage tab to format it before use.
When selecting an SSD, pay attention to the "endurance" rating of the SSD, i.e. the total amount of data that can be written over the lifetime of the SSD, and make sure it's appropriate for your use case. Older SSDs would tend to wear out much faster than spinning disks due to the large amount of data being written in video surveillance use, but some newer ones, e.g. some Samsung EVO models, have endurance ratings high enough to last several years.