Today there are 2 open cannabis stores in New West. They are actually in the Queensborough area so depending on where you are, you may not see them. A few others have licenses but have been slowed down for different reasons. You can view their status and expected locations on the following page
The local New Westminster government has limited the number of licenses that are available. You could apply but be prepared for a lengthy process which includes them voting on your license. You can anticipate more competition but fewer restrictions next door in Vancouver.