I don’t know what methods you’ve already explored in class, but it’s important to consider your character’s objective. Your character must have some sort of goal in every scene, as well as a ‘super-objective’ for the whole play. That means your performance is driven by intent, and your character is motivated. Even if your character’s desires are not clear from the script, you must be sure what they are: it’s an important part of the character development process. If you’d like to do more research, this approach came from the pioneering Russian realist director Stanislavsky.
This brings us to the idea of ‘actions’. To seduce, to appease, to intimidate, to console, etc. Try to find one for every line, and if you experiment with them when you rehearse, I’m sure you’ll discover some new and interesting aspects of your role. The idea of actions is so important; you must know as the actor what your character is really doing.
Also, before you enter a scene, you should have in your mind what your character has just been going through. What have they been doing for the last 10 minutes?
I hope those tips help you for now!