No, they're two entirely different games. 5E is a lot closer in feel to 1st edition D&D, with some features of later editions added in. (Pathfinder is based on D&D 3.5, which is quite a different animal.)
I have the 5E adventure (and the one that precedes it, Hoard of the Dragon Queen). There is a free version of the 5E rules available on Wizards.com, with a lot of the monster stat blocks, plus there are a couple of web enhancements that have the rest of the needed stat blocks for creatures and NPCs in the adventures, so you can get a peek at how they differ from Pathfinder.
If you wanted to do a conversion, you could probably modify it by replacing the 5E stat blocks with Pathfinder stat blocks. However, be aware that there are a fair number of NPCs relevant to combat situations. (I always find that hunting for a good replacement stat block for an NPC is harder than for critters). Also, 5E encounters are balanced differently, so you'll generally want to reduce how many foes you throw at your players for Pathfinder, as compared to the 5E version.