La construcción verbal "go on" + "gerund" indica continuación de la acción expresada por el "gerund".
Ejemplos
- He went on speaking for two hours.
 - I can't go on working like this - I'm exhausted.
 - Even after I apologized, he went on being angry for another month.
 - The show will go on playing through the end of the year.
 
"Go on" + infinitivo significa que se pasa a realizar la acción siguiente (expresada por el infinitivo), que suele ser una etapa posterior de un proceso descrito por el contexto.
Ejemplos
- After introducing her proposal, she went on to explain the benefits for the company.
 - John Smith worked in local government for five years, then went on to become a Member of Parliament.
 - After making dinner, I went on to set the table.
 - When you're done with your soup, you can go on to serve the main dish.
 
