I will be assuming that you are talking about legalization of bitcoin and other shitcoins in today's economic world.
Economy will become more globalized. It will be easier to perform cross-border transactions and trades. Which will create an influx of new investments. This could go either way, but if such cross-border investments with cryptos are done in a controlled and regulated manner then it will be very positive.
On a domestic level, monetary policies will become redundant due to free flowing nature and volatility of cryptos. It will have a huge impact on everything. So it's not going to happen unless the state can at least control the supply of cryptos and have an influence over its price. These two conditions have to be met, before they even think about legalizing it.
A stable implementation of cryptocurrency will increase the participation. Which means more money to invest in new businesses, which means more jobs, which means more spending, which means booming economy

This is an ideal case, i.e. the cryptos were integrated in a very controlled fashion into the system and citizens are smart enough to access its potential. Otherwise it will be a disaster.