Reading a Jewish Bible is foundational to our Jewish education. It consists of three parts, called Torah, Prophets and Writings in English. It has (and needs) no New Testament. The Torah, Prophets are Writings are the original testament to the sovereignty of God, and to our relationship with Him.
So much information is available online now, to study the Jewish Bible and to begin to understand it in English as well as Hebrew. Here's a very thorough post on My Jewish Learning that provides links and a clear outline for Bible study, which is usually called Torah or Tanach study.
Without a congregation or a personal teacher it's entirely possible to conduct Bible study at home or wherever you travel. Sefaria.org offers an easily searchable and authentically Jewish translation of Tanach, the Jewish Bible, as well as other texts. Sefaria.or is my go-to website when I'm using digital resources to study.