A few weeks ago I started to look for new opportunities, and found a job offer in a subsidiary of a S&P 500 company, which looked really interesting.
After applying, I got an email from the manager to schedule a first phone interview. The interview went well, although it was the bare minimum: he introduced the context, I walked him through my resume, asked me why I wanted to change, the length of my notice and my salary expectations, and after 30 minutes we were done. He didn't really try to validate any of my technical skills (we're talking about a software engineering/devops role, and having been on the other side as a recruiter, for me this is a first red flag to not validate the applicant skills and blindly trust what's on the resume).
At the end when I asked him what were the next steps of their recruitment process, he wasn't sure and told me : "I'll have to check if we can schedule an on-site interview".
And apparently I aced the interview so well that yesterday, I got an email from him congratulating me that I had the job and they would send me an offer soon.
Honestly this is the first time I get a job so easily, and I'm confused because I really didn't expect that, especially from a large corporate and for a senior posistion, not a few months internship.
So, what would be the smart thing to do here? Is it acceptable to request an onsite interview, for example with HR, ask to meet the team, etc? Another thing that worries me is when he said that there were 3 open position in the team, and it didn't seem that they were expanding the team, so I was thinking maybe ask to meet the manager's manager to try to better understand what's going on.
EDIT (2 years later): I saw that this question was read 1k times! And I realized that I never completed how this story ended. Well, a few weeks after the mail assuring me that I would get an offer soon, I got another e-mail from the hiring manager to apologize because all recruitements in his department were temporarily freezed and so I wouldn't get an offer now, but assuring me that my profile interested them and he would get in touch.
Finally, 3 months later, he contacted me back saying that the freeze was about to end and asking me if I was still interested, and proposing an interview with his director. I politely replied that I wasn't looking for new opportunities anymore :-)