Real money is the legal tender of the different countries which use in daily financial transaction. It has a monetary value which can be used to buy something.
The difference of this money from bitcoin is, bitcoin can avoid the effect of inflation in the country. Its value is always increasing which will cover the possible increase in prices of goods.
Both are currencies. Bitcoin is a digital currency and other local currencies we are using is normal currency with which we can purchase or do anything we need. As bitcoins is a digital currency, we can only shop or do anything only online. We can shop around and do more things online. But with other local currencies, we can do more / lot where we live.