Catholics believe that each human is made of the body and the soul. These are the two parts which make one whole person.
The unity of soul and body is so profound that one has to consider the soul to be the "form" of the body: i.e., it is because of its spiritual soul that the body made of matter becomes a living, human body; spirit and matter, in man, are not two natures united, but rather their union forms a single nature.Catechism of the Catholic Church (CCC) 365
This means that the body is finite, and at death the body ceases to exist.
Catholics believe that the soul will live on after death and go on to the afterlife.