I don't even have a PS3...
But, an SSD is a "solid state drive." It's essentially flash memory(like a USB stick).
solid-state drive (SSD) is a data storage device that uses solid-state memory to store persistent data. SSDs are distinguished from traditional hard disk drives (HDDs), which are electromechanical devices containing spinning disks and movable read/write heads. SSDs, in contrast, use microchips, and contain no moving parts. Compared to traditional HDDs, SSDs are typically less susceptible to physical shock, quieter, and have lower access time and latency. SSDs use the same interface as hard disk drives, thus easily replacing them in most applications.
In dipshit terms so that you can understand, it's faster. Games will load faster.
Does the PS3 has their own processors? Yes. Not sure what you're asking there. Every system has their own processors.
Yes, it has a built-in storage system.
And no, you haven't been brainwashed -- you're just an imbecile.