Is it normal to still be dependent on your parents after graduating from college?

I’m in my last semester of undergrad. I’ve been job-searching and talking to my counselors and there don’t seem to be any jobs I can get right away that will pay enough for me to support enough. I’m worried that I’ll have to still be living with my parents for several months after I graduate from college. Is this normal?

Several months is “normal”. Several years is not.

What about 1 year?

There’s no hard deadline. What is deemed acceptable is entirely between your parents & you.