James White's book "The Potter's Freedom" is a great starter on reformed theology, it was for me. Because he is refuting an arminian work as he explains it. I highly recommend it!
Along with this, I think Chosen By God by R.C. Sproul would be extremely beneficial. It teaches the doctrines of grace (Calvinism/TULIP) at an extremely layman level.
But I think the question you're asking is based on the doctrine of "Irresistible Grace" (the I in TULIP). This doctrine is often mislabeled by Arminians who say stuff like, "God drags people into heaven kicking and screaming, while at the same time saying 'no' to people who desperately want in." This is a complete lie. R.C. Sproul prefers to call Irresistible Grace "Effectual Calling". I like that better, too.
The phrase "free will" is NOT in Scripture explicitly (at least in any of the English translations I've read), but it is implicit in there. The problem with our free will is that it's not as free as we like to think it is. St. Augustine of Hippo, Martin Luther, and Jonathan Edwards all wrote amazing pieces on Free Will. Martin Luther's is most appealing to me simply because of the title: "THE BONDAGE OF THE WILL." Luther makes the case that our free will is in bondage to sin, and until God frees our wills from that bondage, we will never make a righteous decision.
Essentially, how this works is we are completely and utterly blind, deaf, and dumb to the things of God from birth (Total Depravity - T in TULIP). This means that we are actually unable to NOT sin. Our minds are completely bent on evil, and can only do evil (Romans 8:5-8).
Now, when conversion happens (regeneration/rebirth - something done completely of the Spirit, with no effort of our own - Ephesians 2:8-9), God calls to us, and now that we are able to see God for who He really is, our hearts being made new, we gladly receive Jesus as our Lord and Savior.
So no, God does not FORCE us to believe in Him, in the sense that you would have been taught about Calvinism from your upbringing. Instead, He frees our wills to grant us, by His grace, the capability to believe in Him, and our free will gladly chooses Christ every time.
I wrote a blog post on this awhile ago called "
Kicking and Screaming - Calvinism Misconceptions pt.2" that might be of some help.