Solo dining at the Bar near Burrard and Georgia
My favorite spot is La Brasserie on Davie Street, between Burrard and Thurlow. The "bar" looks over the kitchen. It is a great show, and the Alsatian-themed French bistro-style food is excellent.
You also might wish to consider a couple of places in Gastown, including the new Wildebeest and somewhat older Abbatoir.
I'd go to an izakaya - very Vancouver and a lively atmosphere.
There are many around, but this one is very close to your hotel: