"Watching someone do something" 这个短语的意思是看某人做某事。
例如：
I watched him cook dinner. (我看着他做饭。)
She watched the children play in the park. (她看着孩子们在公园里玩。)
They watched the sunset together. (他们一起看日落。)
"Watch" 这个单词本身就有 "看" 的意思，它是由古英语 "wæccan" 变来的，在中古英语中有 "监视，观察" 的意思。现在它通常用来指 "看" 或 "观看"。
"The whole process" 意思是整个过程。
例如：
I watched the whole process of him building the house. (我看着他建房子的全过程。)
She watched the whole process of making the cake. (她看着做蛋糕的全过程。)
综上所述，"看到某人做某事的全过程" 用英语可以表达为 "watch someone do something the whole process"。