What can a 20year old guy do with a 15year old girl?

California

I have been reading alot about sex laws and stuff and i know for a fact i will not be having sex until she is 18. All i really want to know is that if we are in a boyfriend/girlfriend relationship that mostly consists of talking on the phone and probably going out once a month to a dinner and a movie. is that illegal? Can i kiss, give her a hug, stuff like that?

There is no law prohibiting an adult from dating a minor where NO sexual contact exists. "Sexual contact" is defined in the Civil and Penal code toward the end of this response:

Two points of caution:

1. When any adult is pursuing a non-sexual "dating" relationship with a minor, the adult should consider that a "minor" remains within the legal control of the parents until they are 18 years of age. The parents have a legal "right" to say "NO" to an adult (or anyone) seeking to pursue a dating relationship with their minor child. If the parents have not been consulted and they later find out, legal issues may arise as a result.

2. If an adult continues to pursue a dating relationship with a minor after a parent has forbidden the arrangement, the parents are within their rights to take legal action to prevent it.

There is no predetermined outcome as each situation is unique to the people involved and the prevailing laws.

Civil code 43.91

(3) "Sexual contact" means the touching of an intimate part of
another person. "Intimate part" and "touching" have the same
meanings as defined in subdivisions (f) and (d), respectively, of
Section 243.4 of the Penal Code. For the purposes of this section,
sexual contact includes sexual intercourse, sodomy, and oral
copulation.

Penal code 243.4

(2) As used in this subdivision, "touches" means physical contact
with another person, whether accomplished directly, through the
clothing of the person committing the offense, or through the
clothing of the victim.
(f) As used in subdivisions (a), (b), (c), and (d), "touches"
means physical contact with the skin of another person whether
accomplished directly or through the clothing of the person
committing the offense.
(g) As used in this section, the following terms have the
following meanings:
(1) "Intimate part" means the sexual organ, anus, groin, or
buttocks of any person, and the breast of a female.