I think the start of this story is very strong. The lilacs are a romantic, intriguing hook, with the locked shop deepening the mystery. There is a good sense of the network of relationships here, without giving any too obvious clues about what is going to happen.
The main character Bernie seems worn down, and could become dull, if not for the lilacs and the memories about Bo and her grandfather.
Only other criticism, apart from the couple of typos below, is the close similarlity of the names: Bernie and Bennie. Unless there's a particular reason for this, it seems a bit awkward.
On the whole, I thoroughly enjoyed this chapter and it definitely makes me want to read more.
A couple of typos:
will find out through the natural coarse of time (course)
slipped an arm around his waste (waist)