Join an organization
Most major fields have at least one major organization for academics, professionals, students, teachers, interested industrial representatives, etc.. For example, if you're in the US or other country where they're active, you might be interested in the American Chemical Society (ACS).
Professional organizations can help you meet others in your research area, publish your work (for example, ACS runs several major journals), and potentially find employment.
Attend the meetings
Once you're in the relevant organization, you can try to attend a conference (and some allow you to attend without membership, but often with a higher entrance fee). Major organizations tend to host at least 1 major annual conference that people come from around the world to attend, plus a bunch of smaller regional conferences and special conferences devoted to particular subtopics.
For example, ACS's next major meeting is the "255th ACS National Meeting & Exposition: Nexus of Food, Energy & Water", coming up in March. From their landing page:
Why Attend?
Discover new research, network, advance your career.
Learn More
16,000 attendees
11,000 papers presented
16% of attendees are International
22% of attendees are from Industry
47% of attendees are from Academia
22% of attendees are Students
They're taking abstracts now. If you want to present, you can go ahead and write up a proposal. In my personal experience, it's not too hard to get a proposal accepted - but whether or not people happen to attend your talk is another matter, so you'll want it to be interesting for that.
Once some of the abstracts have gone through, they'll post a schedule online where you can read about what everyone's doing and plan which talks you want to see. At larger conferences, there'll often be lots of talks going on at the same time in different conference rooms, so you'll want to plan out your schedule in advance.
Then, network!!!. Ask questions after others' talks; meet up with people doing research similar to your own and industrial representatives looking to head-hunt talent. Print off some business cards in advance if you'd like; mostly with your name, contact info (ideally email, possibly LinkedIn/etc.), professional association (if your career is related to the field), and some quick reference to what you're there about, just so they can recall what your topic/area is when they get back home after the conference.
Also, if you do present, you'll often have an opportunity (or obligation, depending on the organization) to post an abstract on their website. If you're looking for exposure, this is a good option. You might even post your other work on a pre-print server and reference it (assuming that it's related).
Once you get home, add people to your professional networking. Put them on your LinkedIn or other professional media. Try to get involved in the organization; talk on its forums, etc..