By now you will be getting some focused visitors, and you should be capable of confirm in the event that they are the proper ones with tools like Google Analytics Demographics data. You also want to be sure your conversion path is working as it should be, so I highly recommend constructing conversion tracking. Do not do that just for your conversion pages, like the checkout and thank you pages, but also the pre conversion pages, similar to your searching cart or contact page. This will give you more data to work with, and also you could be capable of see which ads/keywords and referral channels are bringing in the folk you are trying to attract.
As you bring together more and more data, examine it and make necessary adjustments to your advertising strategy and targeting efforts. If you detect that your content is not being received well, you would be concentrated on the wrong crowd.