Yes, always an Elite Conda, though the difficulty of each one differs from the previous.
Their loadouts change, but generally speaking they're outfitted with great shields and armor (the strength of both vary somewhat), occasionally missiles, and always several laser turrets with usually a couple MC turrets. Often times they have a class 4 plasma accelerator, which, if you get hit, will go right through your shields and disable your engines, if you aren't outright destroyed (disabled engines means you're dead, anyway). For that reason you need to keep moving, trying to stay directly behind them is your best bet.
Target their power plant or FSD (FSD is easier to hit from different angles) to kill them much more quickly, since it's an insta-wreck as soon as either subsystem is destroyed. Carrying chaff into battle helps, since they're turret-heavy, and shields cells are almost a must. You don't need them, but they're incredibly helpful (and a bit overpowered atm). Scanning them with a kill warrant scanner will juice up the bounty a bit most times.