Kimma, until you have a valid set of tests there is no reason to dump anything in the pool blindly. There is no way to know if what you put in will even touch the algae without knowing what the CYA level is. ... and depending on what you added you may have bumped the CYA even higher.
EDIT - Just saw that this is a relatively new fill, I had my threads confused. Apologies. Your CYA is probably fine. Get us a full set of results and we will guide you.
For the record - what you did last night was not "shock your pool" you dumped a bunch of CL and potentially CH or CYA if you used powdered product. Shock is a product ... not a process. In the troublefree world we don't "shock" pools. We SLAM them. In order to slam you must have a good set of results and a good test kit to guide you through the process.
Let us guide you - if you plan to put chemistry in post up here what and how much. We will help teach you what it is going to do to you pool.
Do you remember what and how much you dumped in?
I think you mean Salt Water Chlorine Generator or SWG. That does not replace your cartridge filter - it is one more piece of equipment, you would need to add salt and keep track of those levels if you add an SWG.
Take a deep breath - brush the pool, run the pump and if you really really really have to put something in the pool dump a gallon of liquid bleach or liquid pool shock (they are the EXACT same thing) in the pool daily. If you are considering putting a granular product or solid product in ... DON'T.
Liquid bleach and Liquid pool shock are 100% consumable items. Any kind of granular is going to leave something extra behind - either CYA or CH and until we know your levels that could be a very bad thing.