This a use of "Begging the Question", or circular reasoning because it asserts that [the embargo] is a burden on the Cuban people, and goes on to invoke that it likewise impedes Americans. But is the embargo actually burdensome to either populations? It is not addressed.

In this fragment, President Obama uses "ad populum" reasoning, by reiterating that it is not just a policy of normalizing relations with the Cuban government, but also the people. A very literal appeal to the individual people in the audience, not just to government leaders and officials.