I agree with brubel, it does look like and azalea. Although it is flowering, which is a good sign, I would look close at the leaves once it quits flowering. I have some beautiful shrubs that are in bloom and their foliage is just awful. I found out my soil pH was alkaline and have been working on trying to get it straight. I had a real problem with lace bugs at one time, they are tiny bugs that get under the leaves of the azalea and the leaves start to look lacy on top, you will want to check for those. Ladybugs will eat the lace bugs, or you can get the Bayer systemic insecticide to get rid of them. As for the whole in the middle, if there are dead-looking branches in there, you will want to check to make sure they're really dead before trimming out, I found several on my bushes that I thought were dead and they are still alive, just bare. The bush will start to fill out on it's own once it finishes blooming. If you want to trim it, it will become more bushy and full, and the time to do it is right after it blooms. I've always loved the natural shape, and so have only trimmed mine to remove disease and dead growth. I believe the time to fertilize azaleas is right after they finish blooming too. Holly-Tone has a great reputation as an azalea fertilizer, it also provides helpful growing tips for azaleas and rhododendrons. https://www.espoma.com/content.aspx?type=p&id=22&intCategoryID=4
Good luck, although azaleas tend to be a bit persnickety, they are wonderful when they're blooming!
There is a time for everything, and a season for every activity under heaven: a time to plant and a time to uproot. Eccl 3:1&2b