You can use encrypted.google.com instead of a regular google search, and then use the "Incognito" browser in Chrome to privatize your searches from a local, system and browser level - however, to actually encrypt traffic and secure your computer's identity, you want to look into a proxy or VPN service.
Preferably one that doesn't have a vested financial interest in government organizations or larger companies, nor do they have a contract with any questionable or possibly corrupt entities.
Two preferable programs for anonymity are Kepard and KeyScrambler, kepard for securing your connections and changing your IP Address, and keyscrambler for encrypting your keystrokes, thus preventing people from observing your typing habits - either through a virus/backdoor or direct sniffing, or terminal/protocol hijacking.
Kepard is a VPN Service that encrypts and secures all traffic to and from your computer....
Read our review on it here --> http://area1255.blogspot.com/2014/11/area-1255s-kepard-vpn-review.html
If you would like to check it out, click here --> KEPARD VPN HOME
Another anonymizer is known as PROXIFY , and can be used in browser, and directly through their extensive IP, it is a program/service that can be used to bypass country, school and government firewalls - and it is nearly impossible to block all of their IPs; especially the ones you get as a premium member.