I want to learn new language and I thought to start with Lisp. I want to know if I learn Lisp do I also know Clojure ( with minimal effort ), is there big syntax differences between Lisp and Clojure ?
There are not big syntax differences (mostly because Lisp family languages have almost no syntax), but there are certainly differences in other areas. Clojure has a lot of modern programming features particularly suited to high scalability (actors, references, etc) that are not present as such in a "classic" Lisp (such as Common Lisp).
Clojure is an active, well supported dialect of Lisp. If you want to learn a Lisp, you can't really go wrong with Clojure.
You may find more information in the answers to Which Lisp should I learn? .