About evolution. I think the evolution means a directional change, means an 'upgrade', but many biologists believes that the creature evolution is not directional (see Wikipedia), Do you think the word 'evolution' means 'directional' or 'upgrade'?
There is no goal of progess
pre-conditionally embedded in the evolutionary process. Yet growing complexity in biological systems can be a side-effect of a gradual accumulation of adaptations as they are selected (or even discarded) over time. "Directional selection" may be one of the legit sub-terms dealing with the varying of a trait across a range of values within a population, but that's likely not what you were referring to. More on the issue of teleology here: http://www.talkorigins.org/faqs/evolphil/teleology.html
Evolution does indeed involve "chance" in regard to the mutations that arise in organisms, but there are body/genetic templates already in place and surrounding environments to regulate the fate of those random additions (according to their utility or survival value). As evolution is about how life becomes heterogeneous after it emerges, not about its ultimate origin (abiogenesis deals with that).
I remember that Hegel says the universe (not only creature) is in an evolution (is it?). Do you think so?
Well, Hegel's dialectical idealism might be a form of "evolution" in the broadest sense of the word, but it's a metaphysical doctrine, not a naturalist explanation or like evolution as pertaining to biology. In his time, Hegel only knew of Lamarckian evolution and was opposed to it: http://www.marxists.org/reference/archive/hegel/help/houlgate1.htm
If the universe is in a evolution how could we know or proof it?
Cosmology might have a view of the universe "evolving" -- again in the broadest sense of the word. Philosophy-wise, Daniel Dennett has perhaps tried to make the concept an umbrella term for everything transpiring: http://dannyreviews.com/h/Darwins_Dangerous_Idea.html
Zurek, a physicist, advocates either a QM interpretation or an approach called "quantum darwinism".
What's the different between the 'a network of correlations between things' with 'an evolution in time'? I think they ain't one against another. which is the popular one in philosophers?
The nature and status of time and causation are unsettled issues still debated. As an opener for the latter, you might read about David Hume's "triggering" contribution to the mess, along with any criticisms of it: http://www.iep.utm.edu/hume-cau/
For the former, philosophy of time and its schemes of presentism, eternalism, etc: www.iep.utm.edu/time/