REST API Data Source from an Internal API

I am looking to build a form in APEX that will take a value supplied by the end user and make a GET call to an internal API based on the value entered. For example:

1. Input Field is exposed to the user to enter a person's name. User enters name.
2. User clicks button to search
3. The name is used to make a GET call to the API to return all records matching that person's name
4. a drop down field is presented to allow the end user to choose which matching record they would like to select (populated fromm the REST call results)