Is it normal if i love a girl but we may not have any common interest or topics

What you're describing sounds more like infatuation than love to me.

Consider what she might want from the relationship. Is sleeping on your bed, sex or no sex, all that she wants in a relationship with you?

you probably do have more in common then you think, you just recognize what it is

I'm not that good at giving "relationship" advice cuz I think people have their own unique way of handling situations but I have a question instead, how tf can you stand the silence?

Baby are you sure you're in love? You haven't described any feelings about her, can you get her out of your head? Do you get all awkward and get butterflies in yo stomach? Do you feel lost without her and put her into your thoughts to see what it would be like having her in your everyday life?

Boy you need to understand. You need time fah that!

Sounds like you are lonely. You may be setting yourself up for disappointment in the future if this is how you approach relationships. If you just need someone or something to hug , be with, and take care of without having much in common may I suggest getting a pet of some sort. Then you can ease some of the loneliness you feel while you find someone who you really click with in the mean time.

Sounds like you don't know her well enough to even know if you have things in common.
How about starting out with a few dates first. I'd recommend a comedy club for the first one; you won't have to worry about a lot of awkward first date conversation (the comedians will handle that) and food/drinks are available.
You need to be realistic, though. It's a nice fantasy to have a warm body close at night, but pretty unlikely that she has the same idea of going to bed with somebody. It works very well to just sleep with a girl the first night; it helps her relax and trust you, but it would be odd to continue doing that, if she wants to "sleep" with you again. Most (and I'll put a question mark here?) girls want a guy to take the lead in the bedroom, at least in the beginning. If she likes you, but you continually wimp out, she'll move on.
Sharing your interests with her and taking an interest in hers will enrich both your lives, so that shouldn't be a stumbling block.

Having a wide variety of interests in a relationship can be a very good thing if you are both open-minded. I'd love a relationship with a girl who had very different interests to me. There's a lot of potential for you to grow as a person, but I think physical intimacy might not be enough to make the most of that potential.