It would not be detected in 'normal blood tests'.
Normal blood tests: (an elastic concept IMO)
Full blood count:
Determines number and size of red blood cells, white blood cells, platelets and the level of haemoglobin in grams per litre/decilitre. (There are various derivative values which can be determined from the numbers, such as mean corpuscular volume or mean corpuscular haemoglobin concentration.
Urea and electrolytes:
Determines level of sodium, potassium, urea, possibly chloride, possibly creatinine in the blood.
Helps check basic kidney function and essential mineral levels.
Blood glucose: sugar levels
Anything else may be considered an 'extra' and really only a full blood count may be done
Next round of routine-ish blood tests:
LFTs: Liver function tests - enzyme levels of substances mainly made in the liver:
GGT
AST
ALP
Bilirubin
'Bone group'
Calcium
Phosphate
Magnesium (sometimes)
Alkaline phosphatase
Iron - this will be raised in haemochromatosis.
Serum iron + total iron binding capacity
It is worth testing for this condition which can cause liver damage and diabetes. It may be known as 'bronze diabetes' due to characteristic skin discolouration.
Haemochromatosis can be treated by regular blood letting; unfortunately such blood cannot be used for transfusion. Other treatment includes chelating agents to reduce iron levels.