Firstly, welcome to the Catholic faith. I’d like to reply to your question.
I was recently given a Rosary by a friend, and she told me, “Make sure you get it blessed by a priest!” Coming from a Protestant background, it made sense for me to get blessed, but strange that an something else would be blessed.
What does it mean for a priest to bless a Rosary, and why did it seem so necessary? Why is this important, that is?
Also, can I request other objects to be blessed (such as prayer books, cross necklaces, a crucifix for my wall, etc?)
The Rosary, like a cross or Crucifix, Holy Water, Blessed Palm is a sacramental. A sacramental stems from the Church’s Sacraments, which are instruments of God’s Grace.
When you get a sacramental blessed, this holy object now becomes an instrument of blessing. As Fr. John Corapi says, that the prayers said over a blessed object are applied to every situation where that object is used. So, when a priest blesses your Rosary, you receive the blessing of the Rosary, each time you pray with it.
You should therefore get your scapula, Crucifixes and other objects blessed. If you look up the link you will see how the Church has wisely given blessings to many objects of daily use. catholicdoors.com/prayers/blessings.htm
This is so that we live our lives in such a way that we are already living as we would in Heaven - because in Heaven everything we use and every corner of our Heavenly home will be blessed.
I got my guitar blessed, so that I can praise God with my music.
You can get some salt blessed, to remind you of how you have to be salt of the earth, use the salt to bless your food or add some to clean water and then bless your house with it.
I hope I have answered your question. Please let me know if you need any more explanations.