Will it work? Yes.
Would I suggest spending a bit more and getting the RCBS or Hornady kit? Yes.
LEE stuff is decent and will work. RCBS is better and will work with less rattle. Both will produce ammo. I will say that I won't buy LEE dies any longer for rifle cartridges. Maybe if I was just looking to build blasting ammo. I'm not. Their handgun stuff seems ok. Their universal decapper and factory crimp dies are respectable.
I’ve been using the Lee turret kit for a couple of years now, no quality issues so far and the equipment is very reasonably priced. I don’t think you’ll have any problems with their stuff.
The lee reloading book is actually one of the more interesting ones to read as well.
That kit should serve you well for a long time.
I would also think about a digital scale, I am using this one: Frankford Arsenal DS-750 Digital Reloading Scale with LCD Display for Reloading https://www.amazon.com/dp/B002BDOHNA/ref=cm_sw_r_cp_tai_HHgHEb31SQA55
The balance scale in the kit is fine but the digital is more compact and easier to use if you are paranoid and like to weigh all your powder charges like me