Paleo is grain free (among other things) but considered to be low-carb. Not very-low-carb, but definitely the idea is to limit your carbs and when eating them, choose carbs that are low-glycemic index and are vegetable or fruit based (not gluten-free substitutions for processed foods). The fruits that are encouraged are meant to be eaten in small quantities - berries are considered best for their antioxidant properties. I used to eat fruit ALL the time, but have cut waaaaay back since going paleo. Just a handful of blueberries, blackberries or raspberries for breakfast, and maybe some for dessert too.

Bananas are really great because they are full of vitamins and minerals - but they are a huge carb bomb when you compare them to other fruits. Same with apples. However, they are still healthier than a lot of the processed things you could be choosing instead and the sugars are all natural.

Ny Biker - yes bacon is considered healthy. It's a great source of saturated animal fat. You probably still shouldn't have it at every meal, but it's definitely not considered sinful like on the standard american diet. You just have to be careful that you choose uncured, all-natural bacon, because the cured stuff is full of nitrites and sugar and preservatives. I'd say that when I first went Paleo I spent a TON of time learning to read labels and I really shopped around to find the best brands. Now it's easy and I have my go to favorites that I know are clean and safe to eat.