You can optimize content and structure endlessly, but the definitive answer to "how the site actually looks in Google" comes only from Google itself — through the data it surfaces in Search Console: which queries the site shows up for, at what positions and clicks, and what made it into the index.
The Google Search Console integration does for Google what the Yandex Webmaster integration does for Yandex: it brings real search data directly into the conversation, without switching to a separate dashboard for every check.
What it is
Google Search Console is Google's free service for site owners: index coverage and the reasons pages stay out of it, the exact queries a site ranks for with impressions, clicks, CTR and average position, sitemap submission and status, Core Web Vitals and page-experience reports, plus manual-action and security notices. It's the official source of a site's presence in Google — the direct counterpart to Yandex Webmaster, but for a different engine with its own ranking logic.
What you get
Connecting Search Console via OAuth (the same flow as Yandex Webmaster) lets Seyka answer against Google's own data instead of third-party estimates: which queries the site shows up for, where it loses clicks despite solid impressions, and which pages dropped out of the index and why. It's a separate role from Yandex — Webmaster stays the source for the Russian market, while Search Console covers Google, so SEO analysis reflects real results in both engines rather than one. This matters most for sites serving English-language or multi-market traffic, and for isolating whether a traffic drop is engine-specific or global.