已知数列\(\{a_{n}\}\)中，前\(n\)项和为\(S_{n}\)，且满足\(S_{n}=\dfrac{2}{3}(4^{n}-1)\)，\(n\in N*\)，设\(b_{n}=\log_{2}a_{n}.\)
\((Ⅰ)\)分别求\(\{a_{n}\}\)和\(\{b_{n}\}\)的通项公式；
\((Ⅱ)\)求数列\(\{\dfrac{4}{(b_{n}+1)(b_{n}+3)}\}\)的前\(n\)项和\(T_{n}.\)