Is this for a sub-panel or just a circuit? Without more info, it's hard to guess that the materials and labor requirements are. For a single pull to a hardwired EVSE, this looks high. For a sub panel, it's not out of the ball park for the NYC area. Ask for an itemized bid with parts (actual part numbers, not vague descriptions) and hour units of labor so you can do an apples-to-apples comparison.
While not a licensed electrician, I'm concurred about the fill rate of your existing conduit. 60 Amps at 70 ft will require 4 AWG THWN wire for an underground run inside conduit. NEC 310.10 determines your fill rate and 3/4" maxes at 6 AWG without derating. Link to fill ratings for
Metal and
PVC to do your own verification with the electrician. I see no way to add in a 60 Amp with with the existing 12AWG.
If you lower to 50Amps, you can go with 6 AWG in the 3/4".
Today's cost for 6 AWG are right at $1 per ft. You need a minimum of 4 wires for a sub panel (Hot-Hot-Neutral-Ground). Cable cost would be ~$300. In a standard cost plus 20% contract you should expect around $360.
50 Amp breaker is ~$40 depending on your box brand/type. If you need to add tandem breakers to free up additional breaker space, triple that to $120 (or more). Add cost-plus and you are at ~$50 to $150.
A populated sub panel for one 50 Amp and one 20 Amp GFCI would be ~$150. $180 for cost-plus.
Additional conduit to run inside the garage would be ~$100.
The NJ average rate is $87.50 per hour for a union shop. In your area I'd expect at least $100 with a minimum of 4 hours. 4x that for a sub panel.
Permitting and inspection will add $250 or more, depending on location. There are parts of NJ that tend to go crazy overkill on permitting. No idea how your municipality may be.