the idea that someone would help me just because they want to, with nothing in return, is so foreign.
Do you do things to help other people simply because you can? If not, you might try it - something simple, like opening a door for someone who has their hands full or offering to carry a grocery bag for someone. Nothing big, nothing fancy.
If you do these things already for people, do you expect them to grovel their thanks to you? Would you feel comfortable if you opened a door for me when I had my hands full and I dropped everything and fell to my knees thanking you profusely, then, every time I saw you I thanked you again? Would that seem odd, and maybe even a little creepy to you?
Sometimes it helps to look at it from the other person's point of view. Maybe his gender has nothing to do with it at all. I enjoy helping people learn things. I enjoy learning things. I am as happy to help a male as a female. I have tutored plenty of people. I've made websites for people who needed them without asking for payment because I like the person (so far 2 males, 1 female - I am female). I did it because I knew they would appreciate it. I didn't want to date either of the males (one is happily married, one is married, if not happily, and I am quite happily married).
I have opened my house to people who needed it, I have "loaned" money (actually given it, as I never expect to be repaid and never "loan" more than I can give), I have given my old cars to friends whose cars were dangerous and desperately needed less dangerous transportation. I did not ever want anything back from any of these people. I did it because it made ME feel good (and as you know, it's all about ME).
The woman whose website I built asked me what she could possibly do to thank me for all the work (which is ongoing, and will be until she either takes it down or gets a pro to do it for her). I told her "be my friend." She was raised to believe that nothing is free and that people won't do nice things for her just because they want to. She was uncomfortable with it until I finally gave her something she could do for me that would be a small thing to her but HUGE for me. But I only did this because I could tell I was making her uncomfortable and knew that until she felt the "score" was even, our relationship would continue to be ... weird. Now she's happy and I'm happy she's happy and all is well.
It sounds to me as if this person is happy to offer you help. Maybe he's lonely for socialization? Maybe he lives by himself and having someone to spend an evening with, perfectly platonically, is enjoyable for him. Maybe he's trying to broaden his circle of friends. I would be very careful in assigning motives to him unless he's made very clear statements about them. The last time I did that with a man, I ended up looking the fool when he told me he was gay. It is very much possible that he simply is doing something he enjoys doing for the simple sake of doing it.