Not really. Using a statistical approach to text modelling, specifically using Markov Chains, was proposed by Shannon in 1948. But yeah, there's a point in the 2000s where generative grammar/ symbolic approaches were pretty much left behind by NN methods.
When we discuss Google's input in NLP, the most important contribution is certainly the "Attention is all you Need" paper, which paved the way for BERT and GTP (Alphafold also uses Attention networks, btw)