I have read on some blogs that Go is a better system programming language and is going to replace C/C++. I am currently learning C++. So, I was wondering whether I should continue learning C++ or move to Go?
Go is designed for reliable, fast online services. It's the recommended language of Google App Engine. It does have general feature parity with C, plus additional scalability features. Perhaps, one day, it will be adopted for embedded programming and client-side applications, but that has yet to happen.
C is used in many, many application domains. No other language approaches its breadth of use. As a first language, though, it won't help you develop good habits.
C++ is a multi-paradigm language. It supports deep, generic metaprogramming. Many users of C++ are really using "embedded domain-specific languages" (EDSLs) where a library provides functionality defined within the C++ grammar. Go does not attempt to provide this depth, which is a Pandora's box of complexity.