Kopi luwak or civet coffee, refers to the seeds of coffee berries once they have been eaten and defecated by the Asian palm civet (Paradoxurus hermaphroditus).The name is also used for marketing brewed coffee made from the beans.
-wikipedia
In a nut shell, the coffee cherries are digested by civets that only consumed the reddest and ripest berries before being collected by farmers. This coffee is the world most unique and highly priced coffee, that offers a unique rich aroma and smooth, rounded flavor that won the hearts of coffee lovers around the world.

There are many ways to brew coffee but here are a few methods that are most common.
My personal and only way of brewing is using drip brewer
1) Set up your system as shown in the picture (the cup and everything does not have to be exactly like this, just the system and position needs to be like this) ( filter on top, followed by dripper and lastly your cup)

2) Fill in 2tablespoons full of coffee into filter ( then even the coffee)
3) Pour in small amount of hot water( depend on how much coffee you put), you will see that the coffee will absorb the water and ‘expand’ ( about 60 seconds) ( I put in 20ml for 2tablespoons of water)
4) Once it expanded, add in more water ( water depending how much coffee and how thick you want your coffee to be) ( I put in 40ml of water for 2 tablespoons)
5) Wait for it to drip completely, then add in sugar and milk
6) ENJOY! ( free feel to ask me if you have any questions)

Of course, you do not have to follow it, this is my way of brewing it. Drip machine also works fine.
How you want to brew your cup of coffee is entirely up to you, the world is your limit.
Here are other guides that might help too http://www.realkopiluwak.com/perfect-cup

As an everyday coffee drinker myself and a frequent traveller, coffee is a ‘must-drink-thing’ whenever I am home or abroad. (I am a huge coffee fanatic).Thus, I have been trying coffee around the world and of course I have heard of weasel coffee/kopi luwak and just some time back, I had the opportunity to savor this so called ‘ world’s best coffee’ . On my first sip, I was hooked immediately. Its taste is very different from all the other coffee I tried, the aroma and smooth taste ensure that this is a very good and unique quality type of coffee. I brought back weasel coffee/kopi luwak with me. Before I knew it, I have been sharing these coffees to my relatives and friends and slowly selling it to coffee lovers around me. Then I came across people saying follow your passion (for me- coffee) and this is how I got started, the rest is history

The Coffee Lab was founded in 2014 selling weasel coffee, although it is called ‘Lab’ but rest assured that 100% all coffee are imported directly from source and not from any ‘Lab’. The name ‘The Coffee Lab’ is chosen because I am someone who love to mix and experiment my coffee around to get the optimum taste
If you read ‘about me’ , you would know that our coffee shop is very small but what we do is important- our goal and aim is to bring high quality coffee to every coffee lovers. ‘ The Coffee Lab’ is SSM registered.

We offer both grounded coffee (ready to brew immediately) and whole bean coffee (you have to grind before brewing). The coffee is imported from Indonesia and of extremely high quality.