Since I began my Bachelor degree here, in Targu-Mures I have sought ways...
There should be a comma afte Targu-Mures.
I would like to obtain more knowledge not just about local companies but also international ones, about the entire organizational context, not just one aspect of business management.
Again, a comma after 'knowledge' and after 'companies'. I also suggest changing 'about' to 'concerning' and add a similar preposition between 'also' and 'international' (some synonyms for about: regarding, on, with reference to, relating to.)
but also international ones, about the entire organizational context, not just one aspect of business management.
I would suggest making that comma a semi-colon or a point and starting a new sentence, perhaps starting with "I'd like to learn more...".