It obviously has something to do with killing people. Very disturbing!!!

Thank you very much, Michael Smith

"Buggers" is an offensive term for people - or, in this case, aliens. It is a simple insult. (There is another meaning for "buggers", as people who plant listening devices to spy on others.) So the meaning is, more or less : in contrast to a typical Hollywood action movie about aliens arriving on earth, where the film would be largely concerned with how to kill ("blow up" means to "explode", in this context) the arriving aliens, this movie is going to do something else ... https://dictionary.cambridge.org/dictionary/english/bugger https://www.macmillandictionary.com/dictionary/british/blow-up_1

This is from a review of Arrival. https://arstechnica.com/gaming/2016/11/arrival-proves-that-first-contact-movies-can-still-blow-your-mind/