At time of writing (May 2021), the latest Azure.Storage.Blobs
package doesn't seem to have
a convenience class for parsing Azure Storage Account connection strings.
This Gist contains a simple class to parse values from connection strings which is based on this SO answer from Partick Mcavy.
There is an example of usage that creates a SAS access URL for a blob (my original use case behind this!) which takes inspriation from Deeksha Gupta's answer here.