I have also inquired about same city and responded from a user as below:
"Accommodation and transport are essential as those can be difficult. The renting market is very harsh as most people prefer to rent their houses to companies rather than individuals. As for transport there are no public bus service or taxi service so you absolutely need a car to move around. If you employer provides it it's great. For your food if you live on your own (without a family) 350 LYD a month will more more than enough and there are loads of big and small supermarkets in Misurata, you'll find everything you need. As Libya import ALL of its food products, you'll find food from around the world although i advice sticking to local products to avoid crazy prices. The round trip is common in expat package, the multiple visa is not always included so this is bonus for you, it might come in handy to move around a bit, some people like to travel to Malta and Tunisia during long weekends and holidays. I cannot tell you what you are supposed to do but i can tell you that Misurata is a very nice place to live, it's safer than some other cities, people are extremely friendly, welcoming and helpful. Security in Libya is a question mark, it changes all the time but the war is over, incidents that do happen are isolated and shouldn't stop you from taking this job. Depending on the salary they offer you, you should be able to live comfortably in Libya, things are pretty cheap especially when you start knowing the city. In terms of going out however, you may find that Libya is not the best spot as people tends to entertain within the family environment. Still there are loads of restaurants and cafes in Misurata and the beach is certainly worth a trip.