Definitely no sugar but as regards the carbohydrates you can eat some but make sure they're not of the starch variety, i.e. cereals, pasta, breads etc. The best way to get your carbohydrates is from vegetables, but remember that some veg (onions, tomatoes, sweetcorn) and also most fruit contain high levels of carbs. But yes essentially you can eat as much protein as you like but go easy on the cheese.
I know the book is quite dense but I think it's worth being made aware of the principles of the diet so that you can be more informed about what it is you're actually doing. There are so many people out there who are ready to judge you when you say that you are following a low carbohydrate diet that it is always better to know the facts and correct them. Otherwise it just looks like all you're doing is following another faddy diet.
With regards to actually eating on this diet I have found the evening meal is the easiest, I just don't have the starchy accompaniment, just vegetables or salad. For lunch sometimes I have roasted chicken pieces. I buy a big bag of frozen chicken thighs and roast them up in one hit, then take a few pieces in to work with me each day. Or I make an egg/cheese mayonnaise salad. I find it's easiest to prepare all the ingredients in bulk in the evening so that I can just throw the stuff together in the morning. (You can tell I'm a working mother can't you!) Weekends I treat myself and have a fry up of eggs, bacon and sausages (the Sainsbury's ones I mentioned before). Breakfast during the week is usually scrambled eggs although this does get boring. One of my saving graces has been peanuts. I take a small container of them with me to work and nibble on them during the day. Remember you can have things like home made cheesecake as long as you remember to use artificial sweetener instead of sugar and a non-biscuit base. I have used ground almonds which was ok but I think next time I will use crushed almonds as it gives a better texture. In fact you can do most desserts as long as you stick to the no sugar, no flour, no biscuit rule - just find substitutes.
Another tip is buy 'ketostix' from the chemist. I got them from Boots and they were about £5 for 50. You basically wee on them in the evening and if you're body is in ketosis (where it is using fat for fuel rather than carbohydrates)then the stick changes colour. Very encouraging when you think nothing is happening.
Anyway, hope this has given you some ideas.
Good luck