[RonBee]

Originally Posted by Mihai_alexandru

Much is used for uncountable nouns. Time is an uncountable noun. We cannot say times. So we use much. (for countable nouns we use many)

A lot of is used for both countable and uncountable nouns.

So, we can use both of them. Am I right?

Yes. you are right. Say:

She doesn't have much free time.

Or:

She doesn't have a lot of free time.