Bespoke web design means the site is designed from a blank page rather than adapted from a theme. The homepage structure, the navigation, the typography, the spacing, the way photography is framed, and the small interactions are each decided for your business and your customers, then signed off with you before any code is written.
Bespoke doesn't mean flashy. It can be quiet, restrained, even classical. What it means is that every choice was made deliberately for you, rather than inherited from a theme that thousands of other sites are also running. That's what the word buys.