'Really' is often used to express emphasis or intensity. It can be used to indicate that something is true or genuine or to express surprise or disbelief. Look at the following examples:
That hoodie looks
In this usage, 'really' can be replaced with 'very' and the sentence will remain the same: 'That hoodie looks very cool'.
I
In this sentence, 'really' is used to should that the statement is genuine. In this usage, it cannot be replaced with 'very'.
Did he
Here, it is used to express surprise or disbelief.
'Actually', on the other hand, is often used to clarify or correct something that has been said. It can be used to indicate that what was previously thought or assumed is not true. It can also be used to introduce a new piece of information. Check out the following examples:
I thought the restaurant was closed, but
That bag is