Hello,
Well, you will need to work on a few things to increase your presence in the search engines. It does not really matter if it is a brand new website or one that has been around for a while. It does sound like you may have a newer site and are trying to figure out how to get started.
The first thing I would do is an analysis of your own website in relation to your business on the internet. Go through the content you have now and determine a large list of relevant keywords that relate to your business and company. Then after you have a pretty big list of maybe 50 to 100 relevant search terms you can start to do some analysis on which of those terms have some potential. A good way to start is by using "Open site Explorer" and "Keyword Explorer". Open site explorer will allow you to see how your site stacks up and give you information on things like your websites "Domain Authority" and "Domain Trust" scores.
You can then compare your websites scores to those of websites that rank on the first page in Google for the terms you are interested in.
"Keyword Explorer" will help you determine how the various sites stack up against each other and if there are some search terms that have low competition and also get the traffic you can then develop a plan to target those keywords.
Here is an article from the Moz blog regarding growing site traffic. I hope it helps. https://moz.com/blog/launching-new-website-seo-checklist-whiteboard-friday
Best Regards