Palliative care and hospice are not the same step
Palliative care supports people living with a serious illness at any stage. The goal is relief from pain, shortness of breath, nausea, anxiety, and the strain that illness puts on a family. Patients can keep receiving treatment aimed at the illness itself.
Hospice is a form of palliative care for people whose doctor believes the illness is nearing its final months if it follows its usual course. The plan of care shifts toward comfort, time at home when that is possible, and support for the people who love the patient. A plain definition of that later step is on the what hospice care is page.