To see what your JSON string looks like, let's create it from your hash, which I've denoted h:
require 'json'
j = JSON.generate(h)
#=> "{\"items\":[{\"brand\":\"LEGO\",\"stock\":55,\"full-price\":\"22.99\"},{\"brand\":\"Nano Blocks\",\"stock\":12,\"full-price\":\"49.99\"},{\"brand\":\"LEGO\",\"stock\":5,\"full-price\":\"199.99\"}]}"
After reading that from a file, into the variable j, we can now parse it to obtain the value of "items":
arr = JSON.parse(j)["items"]
#=> [{"brand"=>"LEGO", "stock"=>55, "full-price"=>"22.99"},
# {"brand"=>"Nano Blocks", "stock"=>12, "full-price"=>"49.99"},
# {"brand"=>"LEGO", "stock"=>5, "full-price"=>"199.99"}]
One way to obtain the desired tallies is to use a counting hash:
arr.each_with_object(Hash.new(0)) {|g,h| h.update(g["brand"]=>h[g["brand"]]+g["stock"])}
#=> {"LEGO"=>60, "Nano Blocks"=>12}
Hash.new(0) creates an empty hash (represented by the block variable h) with with a default value of zero1. That means that h[k] returns zero if the hash does not have a key k.
For the first element of arr (represented by the block variable g) we have:
g["brand"] #=> "LEGO"
g["stock"] #=> 55
Within the block, therefore, the calculation is:
g["brand"] => h[g["brand"]]+g["stock"]
#=> "LEGO" => h["LEGO"] + 55
Initially h has no keys, so h["LEGO"] returns the default value of zero, resulting in { "LEGO"=>55 } being merged into the hash h. As h now has a key "LEGO", h["LEGO"], will not return the default value in subsequent calculations.
Another approach is to use the form of Hash#update (aka merge!) that employs a block to determine the values of keys that are present in both hashes being merged:
arr.each_with_object({}) {|g,h| h.update(g["brand"]=>g["stock"]) {|_,o,n| o+n}}
#=> {"LEGO"=>60, "Nano Blocks"=>12}
1 k=>v is shorthand for { k=>v } when it appears as a method's argument.