Information travels from one neuron to the next through a small gap called a synapse.
The pre-synaptic ending (neuron at the front of the chain) contains neurotransmitters.
The post-synaptic ending (neuron on the receiving end of the synapse) contains receptor sites for the neurotransmitters.
By releasing special neurotransmitters, neurons can release special signals and information to the next one. The billions of neurons communicate with each other this way, which allows the brain to carry out all of its specialized functions!
The synapse is shown very well in the following video: