Yeah, it's normal to do, either from curiosity or even a sense of relief. The actual question is if the information you find is going to be an information hazard to you.
For example, if you're just curious and THINK you shouldn't, but do anyway because it's too interesting, that's fine.
If you're feeling overwhelmed with a bunch of little things adding up, and you have no therapist to work through those feelings or any relief in sight, caution might need to be applied.
Or not. There's never any need to judge your thoughts or feelings, or feel like you need to invalidate needing some attention in order to discuss the issues you're having.
I think it might be more helpful to think of looking up suicide methods as a behavior. There's no need to worry about if it's normal or if you're being unusual. This behavior may have been triggered by recent events, or by your mood.
What's got you reading up on suicide? Are you having suicidal ideation? This doesn't mean you have an attempt in mind right now. It often takes practice to have an attempt due to survival instincts, but ideation is a big first step that should be taken seriously.
Sometimes, when I find myself looking up suicide, it's because I want to feel less alone. I sometimes even go to suicide watch threads on other websites in order to read other people's reasons, feel them for myself, and get some tears out. It might be because I also want to make myself cry, or self harm emotionally, or empathize with others who feel more like me in that moment.
The fact that YOU have chosen to reach out about it says a lot.
And like
@Bamma has said, sometimes you need attention. Very few humans never need attention in their day to day lives.
Let me just add before I finish my response -- I'm not going to share the method I have here, because I feel it is an information hazard (unless you are old with a terminal illness, but I don't think that applies to most people here, and I don't have a way to verify). But I will say this: most methods you will find or think of are not worth it. As in, they may not be as quick, accurate/100% chance of not living with a new physical or psychological disability or two afterwards, or painless as you may imagine. I'm not saying this to scare you. People who have done them don't say this often, because it's not the point, but sometimes having this in mind helps you have more of an informed decision that also grounds you and reminds you that you are here and don't deserve to have to go through these thoughts, these pains, etc.
When making a decision, it's always important to go through a check list to prove to yourself that you have tried and exhausted literally all other options. Including packing up and walking to the other side of the world to see if you can have a better life in the country side of Guinea, or getting a therapist, or trying at least 130 combinations of psychiatric medicines.
You don't go through toe pain for years just to decide to cut off your leg before trying acetaminophen.
Do you want to talk about your thoughts or the little things that are adding up? We're here to listen to you. <3
