In your first terminal, cd into the "api" folder. Use flask run to start your Flask api in development server on localhost:5000.
In your second terminal, cd into the "webapp" folder. Install your node dependencies with npm install. Run the development version of the Vue webapp with npm run serve. The webapp will be running on localhost:8080.
The contents in API were created using standard Flask dev processes. See the readme for the derivative projects.
The initial contents inside webapp were created by opening a terminal at root (where this readme is located) and typing vue create webapp