Given how you've worded your post I'll assume you mean you have two icons on your home screen, but this would work if you had two icons in a folder too. Long press one of the icons, either or is shouldn't matter, and drag it to the bottom of the screen where an icon will usually appear that says remove. It won't appear until you start dragging the icon around. You can also rearrange the icons on your screen in this same way. I Mason this because coming from that fruity brand we know you didn't have a lot of this type of customization. Alternatively you can long press the icon and release it, as you described, there will be a set of symbols that appear by rather than choosing little i circled choose remove, depending on brand it may appear as a trashcan. This doesn't delete or uninstall the app it simply removes the icon from your screen.
While I don't think you mean you have two apps in your app drawer, if you find that you do, you'll want to check your app list. You can find this by going to Settings>Applications (might also be listed as Apps depending on brand)>scroll down to the app, they'll be in alphanumeric order, and verify you don't have two apps installed. There are a couple of reasons you might notice two apps with similar names and/or icons in your app drawer. They could be different versions of the same app. Possibly even a lite and full version, they could be competing apps, Samsung and Google are a good example of this where each have apps with three same simple name. Like Messages or Contacts. Anyway if you have two in this list there are two installed and they likely aren't connected in any way. You'll have to decide which you want to keep based on some criteria that your decide and then uninstall the one you don't want. In cases like this you may find one of them is not able to be uninstalled. Come back to us if you run into this and we'll offer advice on how to resolve it based on what your find.
Anyway, let us know what you find and we'll offer advice if you need it.
Welcome to the forum and best wishes.