Almost the opposite of that.
Peruse means "to read with thoroughness or care." If you peruse a book, you leave no page unturned. This makes sense when you consider the Middle English per use, meaning "to wear out or use up." Unfortunately, if you "consider the Middle English" very often when speaking, you're probably not exactly the life of the party.
Should you care?
You could make the argument that the way people use it is so far off from the original meaning that it's worth fighting for, but there is almost no way to do it tactfully:
"What are you doing, Chris?"
"Oh, just perusing the report here before the meeting."
"Well you better GET OUT THE MICROSCOPE, RETARD! HA HA HA HA HA!!!"
So, perhaps the best thing is to just lead by example and start using the word correctly yourself. But, this can create its own problems:
"Hey Sharon, What's Chris doing?"
"Oh, he said he was perusing that new report."
"Then why is he hunched over it with his tongue out, re-reading the opening page for the ninth time?"
"Gosh, I don't know. I guess he must be clinically retarded."