It's an innovation. There are no results between 1800-2000 in Google Books Ngram Viewer, and there are likewise no results between 1810 and 2009 in the Corpus of Historical American English. The OED does have a brief entry for entask which says simply "see en- prefix", but since the word essentially does not exist in modern English, it's likely that this new use has been independently re-derived in the same fashion.
It clearly means "to be given a task":
Google is entasked with providing an easy way. . . .
Google has been given the task of providing an easy way. . . .
Personally, I don't think this qualifies as a standard derivation, and I'd suggest that learners of English avoid this word, as others may share my judgment. It sounds hokey.