i [18F] don’t know how to talk to my boyfriend [18M] about physical intimacy

my boyfriend and i have been dating for around two months, we’re both each other’s official first relationship and it’s the happiest i’ve been in a while. we go on dates, we refer to each other as boyfriend and girlfriend, go to each other’s houses etc…

however, during our time dating we held hands once and hugged once (both times which i initiated). when we go over to each other’s places to watch movies we don’t even cuddle or touch that much (if at all) or anything we just watch the movie. and i didn’t think anything of it until my friend made a comment about the situation, she said it was kinda weird cause that’s normally an excuse to make out or fool around and that threw me off so bad because i didn’t think of that at all. does he want to make out? that’s so scary i want to watch the movie. i assumed the both of us wanted to watch the movie.

i honestly don’t really mind how our relationship is going, but i wonder if i should talk to him about it? should i try to initiate more intimacy? does he want to touch me more?

and if i have that conversation with him, how do i start it? do i just go “hey, we’ve been dating for a while, do you want to hold hands/hug/cuddle more often, because i’ve only initiated it two times and i don’t know about your boundaries and stuff.” like how do i even breach this topic, it all feels embarrassing. i know communication is good but it all feels vaguely embarrassing.

TL;DR : been dating my bf for 2 months, we’re happy and official but barely touch (held hands + hugged once, both times me). didn’t think it was weird until my friend pointed it out. now i’m overthinking. when would it be good to breach the topic, how do i have that conversation?