Would Call or Will Call?

For the first person, the verb shall is preferred. Nevertheless, when you use will for the first person, you are pretty sure and confirmed. I will call you [I'm pretty sure and confirmed that I will call you]. On the other hand, as others stated, would is a conditional verb showing probability.

What does it mean I will call you?

is used specifically for phone calls. It suggests that somebody will call you in the near future. For example, perhaps you just saw a friend but don't have time to talk to them, so you say "I will call you (later)."

Will give a call meaning?

: to call (someone) on the telephone Give me a call when you get back from your trip.