I copy what the reasonable people have said here. Convert only with the intent of being Orthodox, not just to make someone happy, and beware of the convert zeal factor.
How often do people get DRAGGED to the altar of an Orthodox church for a mixed marriage? Every single concession is made to make people happy, we'll accept you no problems, one two three, etc. People are talked into it, cajoled, etc. This is not the right path to Orthodoxy, when people end up going to church just for Christmas and Easter, so they can make some old granny in their family happy. It reminds me of obryadoverie, a Russian term for the tendency to believe that the performance of rites alone are in themselves satisfying to God.
Someone here was upset at traditionalists, I think if anything the traditionalists make you think MORE carefully about your decision to become Orthodox, not to mention the priesthood. Granted I'm talking about canonical traditionalists, i.e. ROCOR, not the schismatic groups that you should steer clear from like the Suzdalites who will ordain anyone that says they hate the Moscow Patriarch for being a KGB agent and/or a liberal
At the same time, yes it is unquestionably an invitation from above to examine your own personal beliefs. As long as you understand that 1) your relationship with God is separate from your relationship to any other person, even though God leads us to Him through other people in various ways, and 2) your relationship with God is THE most important relationship ever - you should be able to think soberly.
Your boyfriend, on the other hand, shouldn't start even thinking about priesthood at all until he has been properly accepted into the Orthodox Church through crismation, which is a sacrament. He has a LONG WAY TO GO before being a priest. One must LIVE the Way as a FULL member the Church before one's mind and soul has the clarity to understand how deep of a mission priesthood is. He must understand what a life in the sacraments is all about by experiencing them firsthand. How can he know that he is capable of administering, say, confession, giving spiritual advice, when he himself has never been to an Orthodox confession yet, has never taken communion?
Perhaps he will be humbled when he enters the church, and learn that maybe his real calling is to help the clergy in his church. We often find our clergy lack a strong, supportive group of laity to help them keep up with their many tasks. There are so many things a lay person can do to help the church, and priests aren't given any special 'bonus' from God for being priests - if anything they have a bigger responsibility and are subject to great temptations. If he decides he wants to spread the good news, he can help out with the Sunday school, or help organize one if it doesn't exist.
It's not even an issue of time, more than an issue of real experience. There are very few cases like that of Apostle Paul, who turned from being a persecutor of Christians to an Apostle by an act of God's grace.
It's great you found someone in your life that you can selflessly love. My advice to you would be to stand your ground for your own spiritual benefit, saying that you cannot feel compelled to be Orthodox and that his attitude is creating a rift in your relationship and making it more difficult for you to come to Orthodoxy with an open heart. On the other end, in your love for this man show him patience. I'm seeing that he has feelings for you, otherwise he wouldn't be inviting you to join him on this path and would seek to find someone who already shares his views.
If you have the strength to pray, do it. This is a crucial turning point in your life, and if you already understand that there is someone great out there who cares for us and is involved in our lives, talk to Him. If you do that with a good, open heart, you really can't go wrong.