The virus won't be completely eradicated and will likely be with us forever as most coronaviruses are. The Spanish flu strain is still with us today.
https://www.history.com/news/1918-flu-pandemic-never-ended
However, I believe for the US between Vaccinations and Infections, we will be at herd immunity come summertime. Cases will be extremely low and hospitalizations/deaths should be drastically decreased to the point where life can get back to normal. Even this extremely conservative administration said so today. I do believe it will take awhile for the rest of the world to get this under control. The US are front runners with the vaccine administration.
Vaccine push working to keep COVID-19 deaths down in US, White House believes | WFLA
'The White House Task Force said things could be “back to normal” by the 4th of July, but only if Americans continue to get vaccinated and keep up coronavirus precautions.'