How do I act a week into dating?

I’ve been dating a guy for less than a week and I’m usually used to being in long term things and just saying how I feel so this is new to me. I literally met him a few days ago and I am quite needy. Do I expect a lot? Do I expect to be his priority if it’s literally been a few days it’s nee so like what do I expect? Do I just kinda treat him as a close friend right now and go with the flow.

How do I act a week into dating?
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