Reference for Hodge decomposition for flag variety

Any references for proof of the following facts:

1. The cohomology of the (complex) flag variety is always in $$(p, p)$$-type of Hodge Decomposition.

2. The natural map $$G/T → G_\mathbb{C}/B$$ is a diffeomorphism, where $$G$$ is compact connected real Lie group and $$T$$ is its maximal torus. $$G_\mathbb{C}$$ denote the complexification of $$G$$ and choose a Borel subgroup $$B$$ containing the complexification of $$T$$.