Is it normal to want to be a lesbian but can't

"or see a counselor because I should be attracted to men"

Haha, what nonsense!

Save yourself the money of having a counsellor tell you that you're not mentally ill.

You need to recognise that the LGBT community's always been significantly smaller than the straight one, so bumping into a woman who likes women isn't exactly something that happens often. Even ladies who came out before their teenage years misread straight women. From what I've heard and experienced, most couples meet online or through introductions.

I heard "She" is a decent app for meeting queer women.

"Should"? There's no should here

Well I have something wrong with me I enjoy both sexes just as equally but have a boyfriend. Will probably marry him but also have a girlfriend who will be my lover

It is not against the Bible to have these longings, but it is against the Bible to act on them. In other words, you are dealing with this perfectly. Have the longings but do not sin. You're doing great. Stay strong!

A counselor is not going to make you straight. There's nothing wrong with liking women. Go to a dating site and try to find a woman.
:)

You ARE a lesbian, you're just a lesbian-in-denial. Yes it's normal. Find an attractive woman either in person or on a dating site or whatever and date her.

Well I never considered myself lesbian but a night out with my oldest friend who is lesbian changed all that it was eye opening experience and would certainly recommend trying it if nothing else try it once if you don't like it don't go it again you will never know otherwise I now consider myself bi sexual