Sounds like you need to read up on SEO (Search Engine Optimization) or find a reliable provider. However, if you want more specific advice I would be happy to do so.
To further assist you we would need:
Re: Tag words
My business name is Alecia Nicole’s Beautique
The address is 1041 Pearl st Brockton Ma
The website is www.AleciaNicolesBeautique.com
Phone number is 774.444.4203
My business comes up when searching in yelp but not in google. I would love
any advice you can offer!
So first off, your website doesn't contain any information (content) words or anything SEO focused. Your title tag is "mysite". Amongst you aren't found in very many places across the web.
If you want to ensure you rank you need your site to be properly optimized such as title tag. I don't think wix offers all of the features that us SEO companies like to use.
Ultimately Google likes companies that offer things such as easy to navigate website, websites containing useful information to customers, loading speed, and more.
Local has other factors such as map embeds, photos, citations (directories). Yelp's main ranking factor is reviews, location, I don't believe they even use your website as a factor. However, Google does.
Those are the small items that need to be corrected, a good SEO designed website should hit 3 things in about 9 seconds of a customer visiting your website.
#1. Did they find what they were looking for
#2. Did you answer their question
#3. Contact info
and much more! I would suggest finding someone reputable that can help with SEO if learning Search Engine Optimization is outside your realm.