<human>: Give me the gist of the text in a nutshell

I am in a LDR relationship with a girl I care very much about. Recently, I had to ask her friend for some advice about class, i got the advice, that was it.

She then proceeded to ask if I wanted to get lunch with her, I told her I was eating with a friend and that she could come if she wanted to. She said yes, and referred to it as a "date". 

I start eating, making small talk with her and my friend, she starts trying to hug me/obviously make physical contact. Now, I may be reading too far into this, but I am pretty sure she was hitting on me. 
 
My girlfriend told me in the past that she used to have feelings for me.. or hinted at that. 

Now, I told my girlfriend I would always be honest with her, is the fact that her friend was basically hitting on me worth telling her?

Again, I may just be reading way to into this. But uh, yeah, I feel like I should tell her?
<bot>: LDR gf's friend asked me to lunch, referred to it as a date, tried to keep pushing physical contact, should I tell my girlfriend or am I reading too far into it?