Yes, converting others is part of the Bible, both by instruction and example. The instruction (and example) is basically for Christians to live in such a way that people will ask them why they have hope, and that then Christians can respond with the reason for that hope, so that others can then become Christians as well.
Because of issues with English translations, many Bibles include the instructions with a more direct imperative: "Go and do," rather than "As you go, do," but that's still about things like ensuring that every person can read the Bible in the language that's most comfortable for them, or going door-to-door asking if people would like to hear some good news. Which all seems very reasonable to me!
There is nothing about oppressing people, or killing those who don't agree to convert, etc. It's just not there at all. But proselytizing is.
Hope that helps!
