The principal and interest payment is about $2,212.24 a month.
The standard amortization formula is M = P × r / (1 − (1 + r)^−n), where P is the loan amount, r is the monthly rate and n is the number of payments. Here P = 350,000, r = 0.065 / 12 ≈ 0.0054167, and n = 360. That gives (1 + r)^360 ≈ 6.9919, so the denominator is about 0.85699, and 350,000 × 0.0054167 ≈ 1,895.83 divided by 0.85699 comes to roughly $2,212.24.
Over the full 30 years that's about $796,400 paid in total, so roughly $446,000 of it is interest. That's a useful number to keep in mind, because in the early years most of each payment goes to interest.
This figure covers only principal and interest. Property taxes, homeowners insurance, mortgage insurance (if your down payment is under 20%) and any HOA dues would raise your actual monthly outlay. Lenders also quote a rate with points and fees, so the true cost of a loan can differ from the headline rate. For your own numbers, a loan officer or a HUD-approved housing counselor can run the full estimate.