Actually, not quite as often as you think.

Don't add algaecide yet, and, if you do, only use polyquat.

I actually believe in adding chlorine while you are filling it.

Remember the rule of thumb:
1 gallon of 5.25% bleach adds 5.25ppm to 10,000 gallons of water. That's not a bad starting level for new water, which should be clean and not growing algae.

You WILL need to test your water ASAP. First: Adjust your pH. Get that right. Then worry about
chlorine,
total alkalinity and
CYA/Stabilizer levels in that order.

That's really all you need with a vinyl pool, at least for now. If you don't have a good test kit, get one. It should have the FAS-DPD chlorine test. Don't be confused and get a DPD chlorine test--not the same thing.

You can get the Taylor K-2006 kit, the Leslie's FAS-DPD Service Test Kit, or the Trouble-Free Pools test kit...all are pretty much the same. You cannot get the PoolSolutions PS-234 these days.

In a pinch, the Wal-Mart 5-way drop test kit will do (I think HTC makes it, but I could be wrong).

Bleach is good.
So is baking soda to raise T/A
Muriatic Acid to lower pH
Borax to raise pH
CYA must be purchased from a pool store.

"Shock" is a verb, not a noun. You can shock with Bleach or Liquid chlorine as well as anything.