Bonobos, gorillas, chimpanzees, and orangutans are apes. Apes are very closely related to humans.
Capuchins, marmosets, tamarins, baboons, and a host of other species are monkeys. Monkeys are more distantly related to humans.
English and French are both imprecise languages. In formal classification, monkeys, apes, and humans are all primates. Furthermore, they are all of suborder Haplorrhini, infraorder Simiiformes. "New world monkeys" are of parvorder Platyrrhini, "old world monkeys", apes, and humans are of parvorder Catarrhini. Old world monkeys are within superfamily Cercopithecoidea, apes and humans are within superfamily Hominoidea.
If you wanted to map the taxonomy to English, you'd probably say Platyrrhini and Cercopithecoidea are monkeys, while Hominoidea are apes. This implies that humans are apes, which is, at least scientifically, fairly accurate. Humans are not, however, monkeys.