Not five minutes after Bill's speech ended, almost every pundit coalesced around one narrative: this was a spouse speech! So, yes, this is a spouse's speech as evidenced by this open. It's biographical. It is designed to humanize. It is homey and romantic. Or, at least it starts that way.
But, being the Clintons, nothing is simple. This opening vignette also recasts bookish Hillary as desirable and attractive. Given Bill's well-documented sexual exploits, this is important.
When I attended a Trump rally this year, I commented on all the slogans about Hillary as sexually frigid and unattractive (https://tressiemc.com/2016/06/15/i-went-to-a-trump-rally/). Women seemed to be some of the biggest purchasers and purveyors of that message. Bill situates Hillary as not only attractive but, initially, too attractive for him to even approach. It's a specific kind of gendering that is even more specific given the Clinton's history.