At the current rate of vaccination, we can see real results at best only by the summer, when the epidemic will again decline due to natural causes. Despite the new restrictions adopted by the state authorities, it is quite problematic to talk about a full recovery of the economy to a normal situation. Small businesses suffer greatly due to restrictions, including the fact that a significant share of profits was earned on Christmas and new year holidays, and now there are serious problems about this. Therefore, we can be happy about the appearance of COVID-19 vaccines, but the situation is still a long way from normalizing.
Everything will depend on collaborative efforts between the government and everyday people. The faster people are vaccinated, the faster the disease will be contained. The economy could take 2 to 3 years from now to recover if all goes well in the vaccination process. But if infections continue to rise towards new ATHs, it'll take much longer to defeat COVID-19 for good. Governments should focus on preventing further spread of COVID-19 by imposing lockdowns and other tight restrictions instead of focusing only on the economy. After all, life is more precious than money. But governments don't see it this way, acting irresponsibly just to keep the economy alive (like how the US has been responding to the pandemic lately).
Nonetheless, the economy should be able to recover sooner or later. Once we reach a pre-pandemic economy, everything will carry on as usual. Normality is soon to become a reality thanks to the discovery of COVID-19 vaccines. We just have to be patient in order to achieve good results in the future. COVID-19 will become history, but will certainly change our lives forever. Just my opinion