Yes, you definitely need to get CYA in your water to prevent UV from burning through it before it can sanitize. CYA = cyanuric acid. As others noted, it's often called "stabilizer", and is available online. I got mine off Amazon. Just make sure it's 100% cyanuric acid. However, the only way you're going to know how much to add and what the level is is through investing in a reliable test kit. This is really the first thing you should do -- strips and pool store testing won't cut it. There's a link in my signature to a comparison of recommended test kits.
With a SWCG, your recommended CYA level is 70-80 ppm. Once you have the CYA and know how much to add based on the size (in gallons) of your pool -- using PoolMath link to calculate how much is needed -- you can put it in a sock and dangle it in front of one of your returns to dissolve. It can take a little bit, so you can also squeeze the sock every once in a while to help speed the dissolve. I would recommend shooting for 50 at first, as you don't want to overshoot your target. You can always add more if required, but lowering CYA requires water replacement or other not-so-easy options.
As far as your chlorine, it's generally a good idea to bring your chlorine up to the
high end of the recommended range for your CYA, and then let the SWCG maintain it. Even on superchlorinate mode (which, by the way, will shorten the life of the cell), not enough FC is generated to bring your FC up from 0 -- especially with no or too little CYA. You can add 8.25% plain bleach, shock, cal-hypo, or other chlorine source to get that initial level. Your cloudiness is the first sign that your chlorination isn't sufficient. It will get worse if you do not get additional FC added to the pool along with CYA.
Depending on how far along it is, you may also need to perform a SLAM (link in my signature). However, I would start with getting a test kit, adding CYA, and getting some additional FC by way of bleach into your pool to prevent anything from worsening.
I might also recommend reading some of the Pool School -- it helps form a good foundation for understanding how the chems interplay with eachother.
Once you have a test kit, you can post a full set of numbers (FC, CC, CYA, pH, TA, CH) and there are many here that will help you. Good luck!