There is this french HB7 in my philosophy class I'm trying to build attraction with but heres the problem:

After class ends she goes straight to some study area to do her science homework or w/e and eat some sort of frozen lunch (I walked her there yesterday). So after class ended today I didn't really have the balls to walk up to her and stop her on her way there because I don't know what to do if

a.) she continues to walk when i try to get her attention
b.) I don't know what to talk about

My goal is to try and get her out on a lunch date or something, but its the only class we have together and she really does seem like she has a lot of studying to do for her other classes.

How do I approach, build attraction, then schedule some sort of date.

Since im assuming the school year is just barly started (it started like 2 months ago here) i'll give you a long time suggestion.
Everyday when you pass her by, say "hi" after so long she will flip wondering why you keep saying hi and whether she knows you from something or somewhere and approach you.
But if you don't want this funny, time consuming way (lol) -
First off when you try to get her attention one of 2 things will happen; she will acknowledge you and wait for you to start a convo, or she will not hear you and keep walking - so for A.) if your afraid she'll completly blow you off I have high doubts that will happen - the only reason she'd walk past you is if she didn't hear you.
B.) if you don't have something to talk about then go to another class or person; the worse thing you can do is stand around staring at her stuttering. This shows you don't NEED to be with her and it will always look like your busy doing something important. Other than that just simply walk up with a line or 2 in mind and roll off of those.

As for a lunch date I don't see what you mean, If you mean in school lunch then walk to the table she's at and sit down - yes that simple. If you mean to take her out of school thats a bigger process.

How do you approach? You have, and you walked her somewhere even.
How do you build attraction? to vague, do basic kino and verbal stuff
Schedule a date? depends on which you mean as i said above

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Thanks for your quick and detailed reply!

I am really inexperienced and so far I still haven't been able to build any relationships with any girls (only a bunch of guys). So this is an important ice-breaker for me.

I want to take her out to lunch off campus so that it will be less of a school SPAM and more of a date without actually mentioning it.

Here is a bit more detail on the scenario:

The class ends and she walks out the door first, or I walk out first. I am having trouble timing and executing a natural approach with her.

If she walks out first, I run up to her from behind.
If I walk first then, I'd just stand there waiting for her to walk my direction.

They both aren't very subtle.