Can I go straight to University with this..??

I ended up dropping out of highschool my senior year (personal issues, don’t want to get into it.)
The adult school near where I live told me that I could still get my high school diploma (not a GED) I’d just pick up where I left off with my credits and finish.

Would it be possible to go straight to a University? Or would I have to go to Community College first?

There is a lot of information you are not giving to try and answer that question. I think the answer is going to depend on your grades, test scores, etc. There is no rule that you have to go to a CC first but you have to be a strong enough candidate to be accepted at a university. Many students go to a CC first to prove they can do the work and do better than they did in HS or for financial reasons.

Most universities (not all) will accept a GED as equivalent to a high school diploma. You can check this by looking in Section C3 of the “Common Data Set”, which most universities (not all) make available online.

Since you are posting in the “California Colleges” section, I just looked up the CDS for a UC school (Davis) and a Cal State school (Fullerton). They both accept the GED as equivalent to a diploma.

But note that just having a high school diploma or GED may not be enough. Universities will probably also want to see your high school grades. Many GED-holders dropped out of high school with unimpressive grades. If your high school grades weren’t good, then you may have trouble getting into a competitive university, even if you have a GED (of course, the same could be true if you had a diploma and unimpressive grades).

So it might be a good idea to attend community college first, even if this is not required. Your GED alone probably won’t make you an attractive candidate at more competitive 4-year universities (unless you have something else going for you, like high SAT or ACT scores). But if you go to a CC first and get good grades, then you would likely be an attractive transfer candidate after two years.

As stated by @Corbett, having your GED should qualify you to apply for admission to a 4 year university, but you would also need to meet the university requirements which can be different from HS requirements.

For example, the UC’s and CSU’s have a-g course requirements that must be fulfilled to apply.

Going to a CC to strengthen your chances is a excellent route to take. The UC’s offer TAG (Transfer Admission Guarantee) if you meet all requirements and the Cal States have the AA/AS-T agreements that give transfers priority.

http://admission.universityofcalifornia.edu/transfer/guarantee/

http://www.calstate.edu/transfer/degrees/AAAS-TDegreeRequirements.shtml

CSUs have only 3 things that matter - a-g course list, CSU GPA and your SAT/ACT… I don’t know where you are ony any of those fronts but, continuing your coursework through graduation (vs a GED) gives you a chance to boost your GPA while you meet the a-g requirements - and earn your HS diploma. All will put you in a better place. Also, I can’t imagine you ever regretting earning the diploma (though it seems likely you’d regret not having it.) To get into a non-impacted CSU, you need about a 2.4 GPA and 1000 SAT to be admitted as a freshman.

Where do you stand on the a-g courses and what are your other qualifications?