If you are using the word 'employ' in terms of giving somebody a job then sure we usually use it in relation to people. However, if you are using the word 'employ' in the sense of 'make use of' then you can use it in relation to something other than a person.
If employ has two definitions (one being to give someone a job and the other being to make use of) and we say that we can only use it for people then we're barely acknowledging the second sense of the word which really would be used with things in most cases, e.g. 'A good writer employs a range of literary techniques...'
So "Employment of the BLABLA program" is perfectly correct. However, there is more to language than correctness. Does it flow? Does it sound funny? Could you write something more effective?
I'm not sure exactly what the sentence is describing but perhaps you could try a few synonyms or slightly different words which describe the situation. For instance (depending on the circumstances) perhaps you could say something like some of the following: 'Implementation of the BLABLA program' (I realised implementation is not the same as employment but depending on the context it may be that a slightly different word is more suitable anwyay); 'The BLABLA Program in Practice'; 'through the BLABLA program' (if it's not a title but in a sentence)
Anyway, my sentence examples probably aren't that useful because I would need to know more information about what you want to say but hopefully that helps somehow just by telling you that there might be a nicer sounding alternative. Having said that, the 'employment' of the word 'employment' is not confined to talking about people. As I said, if it was only intended for people, when would we ever use the word employ in its other sense? (The brother employed his sister to ask for lollies... - in fact this sense of the word isn't necessarily that suited to people at all. You employ skills, techniques, strategies, programmes...)
I hope that helps sorry for harping on :-)