Yes - in common with most central banks it is supposed to be independent. However It ... acts as a treasurer and fiscal agent for the Greek government[1] and is partially owned by the Greek government (35%)
The finance Minister of Greece has no authority to order the BoG around re: fiscal policy, nor has he any right to seize its money.
That 57% owned by the HFSF? That's the Hellenic Financial Stability Fund[1], the management of which is controlled by the Greek government[2].
[1] https://en.wikipedia.org/wiki/Hellenic_Financial_Stability_F...
[2] https://en.wikipedia.org/wiki/Hellenic_Financial_Stability_F...
AFAIK, this is incorrect. The government orders that bank with regard to fiscal actions (that's what the "fiscal agent" role means.) Monetary policy is another thing.