maven-surefire-plugin
is not itself a test framework: it's a Maven plugin that will run tests written with a test framework, either JUnit or TestNG.
I have following in my pom and it is calling my test scripts as expected.
If this is already running your tests then, as Surefire only knows about those two test frameworks, it means you're already using either JUnit or TestNG. You should be able to tell which from the classes you're importing to write your test classes.
(that is working for me from above plugin configuration)
Unless you have a particular requirement there's little reason to move away from the framework you're already using; it doesn't sound like you need to change anything.