I would def use Firefox if you don't know. Download and install it, then open it.
Click on 'Firefox' for the drop-down list of options and click on 'add-ons', then 'get add-ons'.
I fully recommend the fully, for privacy's sake, and at the very least. Scripts can be malicious and most ads are built using scripts.
NoScript ( you may find it slightly annoying but it will also teach you alot )
HTTPS Everywhere ( this will force the site into a secure connection if the designers of the site had the sense enough to offer it...not all of them do..)
That's probably enough to get you started and not be overwhelmed.
Be aware that in order to help 'protect' you, some of these add-ons will impact what you see, content-wise, on any site. That's because something like NoScript is going to block scripts, period. Just play with these add-ons.
If a site demands it and you need it, like a bank site, just go back in and check the box. But beware sites that demand it when you're not even interested in 'interacting' with them. If the site was designed well to begin with, they wouldn't require it.
sorry if that's overload but we're ALL hooked into the same network when we're online and the more of us that browse as securely and privately as possible, the fewer opportunities for exploit against all the people using the internet there will be...